Question

If the logarithm of 5832 is 6, what is the base?mula1" title=" logx(5832) = 6" alt=" logx(5832) = 6" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

The base is 4.2426.

Step-by-step explanation:

Logarithm definition:

Suppose we have that:

$\log_{a}{b} = c$

It means that;

$b = a^c$

In this question:

$\log_{x}{(5832)} = 6$

It means that:

$x^6 = 5832$

$x = \sqrt[6]{5832}$

$x = (5832)^{\frac{1}{6}}$

$x = 4.2626$

The base is 4.2426.