Log Base 7 of 27

What is Log Base 7 of 27 or log7(27)?

Log7(27)

= 1.6937251021607

Formula How to
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Logarithm

How to find what is Log Base 7 of 27? 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 7 of 27 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log7(27) =
    loge(27)/loge(7)
  2. Calculate the log value for numerator and denominator part.
    3.2958368660043/1.9459101490553
  3. After simplify the fraction, you will get the result. Which is,
    1.6937251021607

log7(27) or Log Base 7 of 27 is equal to 1.6937251021607.

loge(7) 1.9459101490553
log10(7) 0.84509804001426

loge(27) 3.2958368660043
log10(27) 1.431363764159

logb(x) Equal to
log7(22) 1.5884815929754
log7(23) 1.6113252800759
log7(24) 1.6331965953776
log7(25) 1.6541749506938
log7(26) 1.6743304101699
log7(27) 1.6937251021607
log7(28) 1.712414374216
log7(29) 1.7304477452986
log7(30) 1.7478696965085
log7(31) 1.7647203321039
log7(32) 1.7810359355401
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