Log Base 90 of 4

What is Log Base 90 of 4 or log90(4)?

Log90(4)

= 0.30807844390853

Formula How to
Share This Calculation:
Reference This Calculation:
Logarithm

How to find what is Log Base 90 of 4? The logarithm of a number to a given base is the exponent to which the base must be raised to produce the number. In mathematical terms, if "b" is the base and "x" is the number, then the logarithm of "x" to the base "b" is written as logb(x) and is defined as the exponent "y" such that b^y = x.

The logarithm of a number to a given base is a useful tool in many areas of mathematics and science, including finance, engineering, and physics. It's also used in solving exponential equations and in graphing logarithmic functions.

In mathematics, the most common logarithms are logarithms to the base 10, which are called common logarithms, and logarithms to the base e, which are called natural logarithms. The natural logarithm is denoted by the symbol ln, and has special properties in calculus and other areas of mathematics.

To calculate any "log base of" use this fromula, which is given below-

logb(x) =
loge(x)/loge(b)
; x>0, b>1;

Where,

  • b = base;
  • x = value;

For calculation, here's how to calculate log base 90 of 4 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log90(4) =
    loge(4)/loge(90)
  2. Calculate the log value for numerator and denominator part.
    1.3862943611199/4.4998096703303
  3. After simplify the fraction, you will get the result. Which is,
    0.30807844390853

log90(4) or Log Base 90 of 4 is equal to 0.30807844390853.

loge(90) 4.4998096703303
log10(90) 1.9542425094393

loge(4) 1.3862943611199
log10(4) 0.60205999132796

logb(x) Equal to
log90(1) 0
log90(2) 0.15403922195426
log90(3) 0.24414639043777
log90(4) 0.30807844390853
log90(5) 0.35766799717019
log90(6) 0.39818561239203
log90(7) 0.43244276794323
log90(8) 0.46211766586279
log90(9) 0.48829278087554
Calculations