Log Base 47 of 10

What is Log Base 47 of 10 or log47(10)?


Log47(10)

= 0.59805112198071

Formula How to

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How to find what is Log Base 47 of 10? 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 47 of 10 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log47(10) =
    loge(10)/loge(47)
  2. Calculate the log value for numerator and denominator part.
    2.302585092994/3.8501476017101
  3. After simplify the fraction, you will get the result. Which is,
    0.59805112198071

log47(10) or Log Base 47 of 10 is equal to 0.59805112198071.

loge(47) 3.8501476017101
log10(47) 1.6720978579357

loge(10) 2.302585092994
log10(10) 1

logb(x) Equal to
log47(5) 0.41801979532402
log47(6) 0.46537422836263
log47(7) 0.50541183101423
log47(8) 0.54009397997008
log47(9) 0.57068580341188
log47(10) 0.59805112198071
log47(11) 0.62280606378138
log47(12) 0.64540555501932
log47(13) 0.66619507167006
log47(14) 0.68544315767092
log47(15) 0.70336269702996