Log Base 985 of 7

What is Log Base 985 of 7 or log985(7)?


Log985(7)

= 0.2823170346521

Formula How to

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How to find what is Log Base 985 of 7? 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 985 of 7 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log985(7) =
    loge(7)/loge(985)
  2. Calculate the log value for numerator and denominator part.
    1.9459101490553/6.8926416411721
  3. After simplify the fraction, you will get the result. Which is,
    0.2823170346521

log985(7) or Log Base 985 of 7 is equal to 0.2823170346521.

loge(985) 6.8926416411721
log10(985) 2.9934362304976

loge(7) 1.9459101490553
log10(7) 0.84509804001426

logb(x) Equal to
log985(2) 0.1005633567861
log985(3) 0.15938914945262
log985(4) 0.20112671357221
log985(5) 0.23350088343784
log985(6) 0.25995250623872
log985(7) 0.2823170346521
log985(8) 0.30169007035831
log985(9) 0.31877829890523
log985(10) 0.33406424022394
log985(11) 0.34789205614215
log985(12) 0.36051586302482