Dasar Matematika
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Entri yang ditinjau
35 entriargument
nounnumerus (logaritma)
In maths, the input of a function, such as the number inside a logarithm.
In log₃(x + 2), the argument is x + 2 and it must be positive.
Pada log₃(x + 2), numerusnya x + 2 dan harus positif.asymptote
nounasimtot
A line that a graph approaches more and more closely but does not reach.
The graph of y = 2ˣ has a horizontal asymptote at y = 0.
Grafik y = 2ˣ memiliki asimtot horizontal di y = 0.base
nounbasis (pangkat)
In maths, the number that is multiplied by itself in a power, or the number a logarithm is based on.
In 2⁵, the base is 2 and the exponent is 5.
Pada 2⁵, basisnya 2 dan pangkatnya 5.rumus perubahan basis
The formula log_b(x) = log x ÷ log b, used to calculate logarithms in any base.
With the change of base formula, log₅ 20 = log 20 ÷ log 5.
Dengan rumus perubahan basis, log₅ 20 = log 20 ÷ log 5.common logarithm
nounlogaritma biasa
A logarithm with base 10, written log x.
The common logarithm of 1,000 is 3.
Logaritma biasa dari 1.000 adalah 3.bunga majemuk
Interest calculated on the original amount and on the interest already added.
With compound interest, $1,000 at 5% grows to about $1,276 after five years.
Dengan bunga majemuk, $1.000 pada 5% tumbuh menjadi sekitar $1.276 setelah lima tahun.doubling time
nounwaktu penggandaan
The time it takes for a growing quantity to double.
If a population has a doubling time of 10 years, it is four times larger after 20 years.
Populasi dengan waktu penggandaan 10 tahun menjadi empat kali lipat setelah 20 tahun.Euler's number
nounbilangan Euler (e)
The mathematical constant e, about 2.718, used in continuous growth and natural logarithms.
Continuous growth models use Euler’s number, e.
Model pertumbuhan kontinu menggunakan bilangan Euler, e.
exponent
nouneksponen
A small number written above another number to show how many times it is multiplied by itself.
In 5³, the exponent is 3.
Pada 5³, eksponennya adalah 3.peluruhan eksponensial
Decrease by the same percentage over equal time periods.
The value of the car shows exponential decay of 15% a year.
Nilai mobil itu mengalami peluruhan eksponensial 15% per tahun.persamaan eksponensial
An equation in which the variable is in an exponent.
To solve the exponential equation 3ˣ = 81, write 81 as 3⁴.
Untuk menyelesaikan persamaan eksponensial 3ˣ = 81, tulis 81 sebagai 3⁴.fungsi eksponensial
A function of the form f(x) = a·bˣ, where the variable is in the exponent.
Population growth can be modelled by an exponential function.
Pertumbuhan penduduk dapat dimodelkan dengan fungsi eksponensial.pertumbuhan eksponensial
Increase by the same percentage over equal time periods.
The bacteria show exponential growth, doubling every hour.
Bakteri menunjukkan pertumbuhan eksponensial, berlipat dua setiap jam.growth factor
nounfaktor pertumbuhan
The number b in an exponential model that each value is multiplied by, such as 1.05 for 5% growth.
A growth factor of 1.05 means a 5% increase each year.
Faktor pertumbuhan 1,05 berarti kenaikan 5% setiap tahun.half-life
nounwaktu paruh
The time it takes for a quantity to fall to half its amount.
A substance with a half-life of 8 days has a quarter left after 16 days.
Zat dengan waktu paruh 8 hari tersisa seperempat setelah 16 hari.index
nounindeks akar
In maths, the small number on a root sign showing which root to take, as in ³√8.
In ³√27, the index is 3, so we take the cube root.
Pada ³√27, indeks akarnya 3, jadi kita mencari akar pangkat tiga.inverse function
nounfungsi invers
A function that reverses another function, written f⁻¹(x).
The inverse function of f(x) = 2x + 1 is f⁻¹(x) = (x − 1) ÷ 2.
Fungsi invers dari f(x) = 2x + 1 adalah f⁻¹(x) = (x − 1) ÷ 2.logarithm
nounlogaritma
The power to which a base must be raised to give a number: log_b(x) = y means bʸ = x.
log₂(8) = 3, because 2³ = 8.
log₂(8) = 3, karena 2³ = 8.persamaan logaritma
An equation that contains a logarithm of the variable.
To solve the logarithmic equation log₂ x = 5, rewrite it as x = 2⁵.
Untuk menyelesaikan persamaan logaritma log₂ x = 5, tulis ulang menjadi x = 2⁵.fungsi logaritma
A function of the form f(x) = log_b(x), the inverse of an exponential function.
The graph of a logarithmic function rises slowly and never touches the y-axis.
Grafik fungsi logaritma naik perlahan dan tidak pernah menyentuh sumbu y.skala logaritmik
A scale where each step represents multiplying by the same factor, such as 10.
The Richter scale for earthquakes is a logarithmic scale.
Skala Richter untuk gempa bumi adalah skala logaritmik.logaritma natural
A logarithm with base e, written ln x.
The natural logarithm of e² is 2.
Logaritma natural dari e² adalah 2.pangkat negatif
An exponent less than zero, meaning the reciprocal: a⁻ⁿ = 1/aⁿ.
A negative exponent gives a fraction: 2⁻³ = 1/8.
Pangkat negatif menghasilkan pecahan: 2⁻³ = 1/8.nth root
nounakar pangkat n
A number that, raised to the power n, gives the original number.
The 4th root of 81 is 3, because 3⁴ = 81.
Akar pangkat 4 dari 81 adalah 3, karena 3⁴ = 81.orde besaran
The size of a number in powers of ten.
The two distances differ by three orders of magnitude, a factor of about 1,000.
Kedua jarak berbeda tiga orde besaran, sekitar 1.000 kali.