What is the answer to 5^{5x-2}=45 ?

The answer to 5^{5x-2}=45 is x=(ln(1125))/(5ln(5))

Solve for x: 5^{5x-2}=45

The solution is x=(ln(1125))/(5ln(5))

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5^{5 x - 2} = 45

x = \frac{ln ( 1125 )}{5 ln ( 5 )}

Decimal Notation

x = 0.87304 \dots

Solution steps

5^{5 x - 2} = 45

Apply exponent rules

(5 x - 2) ln (5) = ln (45)

Solve

(5 x - 2) ln (5) = ln (45) : x = \frac{ln ( 1125 )}{5 ln ( 5 )}

x = \frac{ln ( 1125 )}{5 ln ( 5 )}

6^{x} = 3^{x + 2}

1 0^{a} = 33

\frac{5 ^{9}}{5 ^{3}} = 5^{a}

5^{x} - 2 = 0

What is the answer to 5^{5x-2}=45 ?
The answer to 5^{5x-2}=45 is x=(ln(1125))/(5ln(5))
Solve for x: 5^{5x-2}=45
The solution is x=(ln(1125))/(5ln(5))