How do you write $32 = x^{5}$ $32=x^5$ in Logarithm form?

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Answer 1 · 2016-08-28T20:04:29

$32 = x^{5} \Leftrightarrow 5 = {log}_{x} 32$ $32=x^5 iff 5=log_x 32$ .

Answer 2 · 2016-08-28T20:04:43

It can be written:

${log}_{x} 32 = 5$ $log_x 32 = 5 " "$ or ${log}_{32} x = \frac{1}{5}$ $" " log_32 x = 1/5$

Given:

$32 = x^{5}$ $32 = x^5$

If we take logs base $x$ $x$ we find:

${log}_{x} 32 = {log}_{x} x^{5} = 5$ $log_x 32 = log_x x^5 = 5$

Alternatively, if we take logs base $32$ $32$ we find:

$1 = {log}_{32} 32 = {log}_{32} x^{5} = 5 {log}_{32} x$ $1 = log_32 32 = log_32 x^5 = 5 log_32 x$

Hence:

${log}_{32} x = \frac{1}{5}$ $log_32 x = 1/5$

How do you write 32=x532=x^5 in Logarithm form?