Log Base 17 of 16

What is Log Base 17 of 16 or log17(16)?

Log17(16)

= 0.9786021684729

Formula How to
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Logarithm

How to find what is Log Base 17 of 16? 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 17 of 16 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log17(16) =
    loge(16)/loge(17)
  2. Calculate the log value for numerator and denominator part.
    2.7725887222398/2.8332133440562
  3. After simplify the fraction, you will get the result. Which is,
    0.9786021684729

log17(16) or Log Base 17 of 16 is equal to 0.9786021684729.

loge(17) 2.8332133440562
log10(17) 1.2304489213783

loge(16) 2.7725887222398
log10(16) 1.2041199826559

logb(x) Equal to
log17(11) 0.84635182092055
log17(12) 0.87706301927494
log17(13) 0.90531458311903
log17(14) 0.93147144571789
log17(15) 0.95582290221222
log17(16) 0.9786021684729
log17(17) 1
log17(18) 1.0201744121952
log17(19) 1.0392577690429
log17(20) 1.0573620514102
log17(21) 1.0745828386382
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