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3 years ago

10

Solve for x please. I need step-by-step explanation. Thank you.

1 answer:

Amiraneli [1.4K]3 years ago

4 0

Step-by-step explanation:

$(7x)^x=7^{7^7}$

<u>log both sides:</u>

$log_7(7x)^x=log_7(7^{7^7})$
$xlog_7(7x)=7^7$
$x(1 +log_7x) = 7*7^6$
$x(1 +log_7x) = 7^6(1+6)$
$x(1 +log_7x) = 7^6(1+log_77^6)$

<u>Compare both sides to get:</u>

$x=7^6$

or

$x=117649$

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<em>Hence, the constant of proportionality is </em> $1\frac{10}{11}$ <em></em>

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