Question

Solve for x
27 × 3^5x-2=(1/81)

Answer 1

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Answer 2

The correct answer is -1.

Given: The equation = $27*3^{5x-2}=\frac{1}{81}$.

To Find: The value of x.

Solution:

$27*3^{5x-2}=\frac{1}{81}$

$3^{3}*3^{5x-2}=\frac{1}{81}$

As the base is same powers can be added.

$3^{3+5x-2}=\frac{1}{81}$

$3^{5x+1}=\frac{1}{81}$

$3^{5x+1}=\frac{1}{3^{4} }$

$3^{5x+1}=3^{-4}$

As bases are same, we can equate powers.

5x+1 = -4

5x = -5

x = -1

Hence, the value of x is -1.

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