Question

find the value of x​

Answer 1

Answer:

5^x-2 * 3^2x-3 = 135

5^x-2 * 3^2x-3=5*3^3

Now compare the powers

x-2 =1

x=1+2=3

2x-3=3

x=6/2=3.

value of x= 3

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Answer 2

135= 3 x 3 x 3 x 5

5^(x-2) × 3^(2x-3) = 3^(3)× 5

comparing powers with respective bases

If the base is 5

then

x-2= 1

x=3

if the base is 3

then

2x-3=3

2x=6

X=6/2

X=3

so x = 3 is the answer

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