Question

$if \: log_{2}(5x + 7) = 5.then \: find \: x$
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Answer 1

Required Answer:-

Given:

• $\sf log_{2}(5x + 7) = 5$

To Find:

• The value of x.

Solution:

$\sf log_{2}(5x + 7) = 5$

$\sf \implies {2}^{5} = 5x + 7$

$\sf \implies 5x + 7 = 32$

$\sf \implies 5x = 32 - 7$

$\sf \implies 5x = 25$

Dividing both sides by 5, we get,

$\sf \implies x = 5$

Hence, the value of x is 5.

Answer:

• The value of x is 5.

Formula Used:

• $\sf log_{a}(n) = b \implies a^{b} = n$