Question 106
Find the value of x which satisfies the following equation $$4log_7 (x - 8) = log_3 81$$
Solution
$$4log_7 (x - 8) = log_3 81$$
$$4log_7 (x - 8) = log_3 3^{4}$$
$$4log_7 (x - 8) =4*log_3 3$$
$$log_7 (x - 8) =1$$
$$(x - 8) =7^{1}$$
$$x = 7+8$$
$$x = 15$$
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