What is the answer to (sqrt(5))^x=17 ?

The answer to (sqrt(5))^x=17 is x=(2ln(17))/(ln(5))

Solve for x: (sqrt(5))^x=17

The solution is x=(2ln(17))/(ln(5))

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(5)^{x} = 17

x = \frac{2 ln ( 17 )}{ln ( 5 )}

Decimal

x = 3.52074 \dots

Solution steps

(5)^{x} = 17

Apply exponent rules

\frac{1}{2} x ln (5) = ln (17)

Solve

\frac{1}{2} x ln (5) = ln (17) : x = \frac{2 ln ( 17 )}{ln ( 5 )}

x = \frac{2 ln ( 17 )}{ln ( 5 )}

e^{2 x} - e^{x} = 132

7^{2 x - 3} = 7^{6 + 5 x}

- 2^{x} + 8 = 0

- 16 \times 1 0^{6 x} = - 80

A e^{x}

What is the answer to (sqrt(5))^x=17 ?
The answer to (sqrt(5))^x=17 is x=(2ln(17))/(ln(5))
Solve for x: (sqrt(5))^x=17
The solution is x=(2ln(17))/(ln(5))