Log Base 49 of 7

What is Log Base 49 of 7 or log49(7)?

Log49(7)

= 0.5

Formula How to
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Logarithm

How to find what is Log Base 49 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 49 of 7 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log49(7) =
    loge(7)/loge(49)
  2. Calculate the log value for numerator and denominator part.
    1.9459101490553/3.8918202981106
  3. After simplify the fraction, you will get the result. Which is,
    0.5

log49(7) or Log Base 49 of 7 is equal to 0.5.

loge(49) 3.8918202981106
log10(49) 1.6901960800285

loge(7) 1.9459101490553
log10(7) 0.84509804001426

logb(x) Equal to
log49(2) 0.17810359355401
log49(3) 0.28228751702679
log49(4) 0.35620718710802
log49(5) 0.41354373767346
log49(6) 0.4603911105808
log49(7) 0.5
log49(8) 0.53431078066203
log49(9) 0.56457503405358
log49(10) 0.59164733122747
log49(11) 0.61613720293367
log49(12) 0.63849470413481
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