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Question
Find the value of x in the following:
`5^(x-2)xx3^(2x-3)=135`
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Solution
Given `5^(x-2)xx3^(2x-3)=135`
`5^(x-2)xx3^(2x-3)=5xx3^3`
On equating the exponents of 5 and 3 we get,
x - 2 = 1
x = 1 + 2
x = 3
And,
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6/2
x = 3
Hence, the value of x = 3.
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