Question

find the value of x if 5^(2x-3) * 5^-3=5^4

Answer 1

Answer:

$x = 5$

Step-by-step explanation:

${5}^{2x - 3} \times {5}^{ - 3} = {5}^{4}$

${5}^{2x - 3 - 3} = {5}^{4}$

${5}^{2x - 6} = {5}^{4}$

So comparing powers of common bases,

$2x - 6 = 4$

$2x = 10$

$x = 5$

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