What is the answer to 11^{5x-2}=5 ?

The answer to 11^{5x-2}=5 is x=(ln(605))/(5ln(11))

Solve for x: 11^{5x-2}=5

The solution is x=(ln(605))/(5ln(11))

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1 1^{5 x - 2} = 5

x = \frac{ln ( 605 )}{5 ln ( 11 )}

Decimal Notation

x = 0.53423 \dots

Solution steps

1 1^{5 x - 2} = 5

Apply exponent rules

(5 x - 2) ln (11) = ln (5)

Solve

(5 x - 2) ln (11) = ln (5) : x = \frac{ln ( 605 )}{5 ln ( 11 )}

x = \frac{ln ( 605 )}{5 ln ( 11 )}

8 1^{8^{x}} = 3^{3 2^{7}}

4^{x} - 32 = 4 (2^{x})

\frac{e ^{x} x - e ^{x}}{x ^{2}} = 0

3^{x - 1} - 2 = 25

e^{x + 1} + 1 = 32

What is the answer to 11^{5x-2}=5 ?
The answer to 11^{5x-2}=5 is x=(ln(605))/(5ln(11))
Solve for x: 11^{5x-2}=5
The solution is x=(ln(605))/(5ln(11))