What is the answer to 10^{x/4}=3 ?

The answer to 10^{x/4}=3 is x=(4ln(3))/(ln(10))

Solve for x: 10^{x/4}=3

The solution is x=(4ln(3))/(ln(10))

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1 0^{\frac{x}{4}} = 3

x = \frac{4 ln ( 3 )}{ln ( 10 )}

Decimal Notation

x = 1.90848 \dots

Solution steps

1 0^{\frac{x}{4}} = 3

Apply exponent rules

\frac{x}{4} ln (10) = ln (3)

Solve

\frac{x}{4} ln (10) = ln (3) : x = \frac{4 ln ( 3 )}{ln ( 10 )}

x = \frac{4 ln ( 3 )}{ln ( 10 )}

e^{2 x} + 2 e^{2 x} x = 0

1000 e^{- 4 x} = 75

7^{x} - 7^{x - 1} = 6

0. 4^{x - 1} = 6.2 5^{6 x - 5}

e^{x} x - e^{x} = 0

What is the answer to 10^{x/4}=3 ?
The answer to 10^{x/4}=3 is x=(4ln(3))/(ln(10))
Solve for x: 10^{x/4}=3
The solution is x=(4ln(3))/(ln(10))