Pls answer Q Find x if 5x-3×32x-8=225 - Maths - Exponents and Powers

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Pls answer
Q Find x if 5 x - 3 × 3 2 x - 8 = 225

Shruti Tyagi · Accepted Answer

Dear student,

We have,5x-3×32x-8=225⇒5x-3×32x-8=152⇒5x-3×32x-8=5×32            ---[using a×bm=am×bm]⇒5x-3×32x-8=52×32Comparing the exponents of the same base we get, x-3=2         and    2x-8=2⇒x=2+3    and    2x=8+2⇒x=5          and    2x=10⇒ x=5        and    x=5thus the value of x is 5
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Pls answer Q. Find x if 5 x - 3 × 3 2 x - 8 = 225

Pls answer
Q. Find x if $5^{x - 3} \times 3^{2 x - 8} = 225$