What is the answer to 5^x=3sqrt(5) ?

The answer to 5^x=3sqrt(5) is x=(ln(3sqrt(5)))/(ln(5))

Solve for x: 5^x=3sqrt(5)

The solution is x=(ln(3sqrt(5)))/(ln(5))

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5^{x} = 35

x = \frac{ln ( 3 5 )}{ln ( 5 )}

Decimal Notation

x = 1.18260 \dots

Solution steps

5^{x} = 35

Apply exponent rules

x ln (5) = ln (35)

Solve

x ln (5) = ln (35) : x = \frac{ln ( 3 5 )}{ln ( 5 )}

x = \frac{ln ( 3 5 )}{ln ( 5 )}

1 6^{- x} = 4^{x + 8}

5^{x} = (\frac{1}{25})^{4 x - 1}

9^{x - 9} = 2

4^{1 - \frac{5 x}{2}} = 32

3^{2 x - 3} = 21

What is the answer to 5^x=3sqrt(5) ?
The answer to 5^x=3sqrt(5) is x=(ln(3sqrt(5)))/(ln(5))
Solve for x: 5^x=3sqrt(5)
The solution is x=(ln(3sqrt(5)))/(ln(5))