What is the answer to 5^{2x-6}=32 ?

The answer to 5^{2x-6}=32 is x=(5ln(2)+6ln(5))/(2ln(5))

Solve for x: 5^{2x-6}=32

The solution is x=(5ln(2)+6ln(5))/(2ln(5))

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5^{2 x - 6} = 32

x = \frac{5 ln ( 2 ) + 6 ln ( 5 )}{2 ln ( 5 )}

Decimal Notation

x = 4.07669 \dots

Solution steps

5^{2 x - 6} = 32

Apply exponent rules

(2 x - 6) ln (5) = ln (32)

Solve

(2 x - 6) ln (5) = ln (32) : x = \frac{5 ln ( 2 ) + 6 ln ( 5 )}{2 ln ( 5 )}

x = \frac{5 ln ( 2 ) + 6 ln ( 5 )}{2 ln ( 5 )}

e^{3 l n (x)} = 8

3 (5^{x - 1}) = 86

9^{4 x - 5} = 2 5^{6 x + 2}

4^{3 + x} = 7^{1 - x}

What is the answer to 5^{2x-6}=32 ?
The answer to 5^{2x-6}=32 is x=(5ln(2)+6ln(5))/(2ln(5))
Solve for x: 5^{2x-6}=32
The solution is x=(5ln(2)+6ln(5))/(2ln(5))