What is the answer to 10^{x/2}=83 ?

The answer to 10^{x/2}=83 is x=(2ln(83))/(ln(10))

Solve for x: 10^{x/2}=83

The solution is x=(2ln(83))/(ln(10))

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1 0^{\frac{x}{2}} = 83

x = \frac{2 ln ( 83 )}{ln ( 10 )}

Decimal Notation

x = 3.83815 \dots

Solution steps

1 0^{\frac{x}{2}} = 83

Apply exponent rules

\frac{x}{2} ln (10) = ln (83)

Solve

\frac{x}{2} ln (10) = ln (83) : x = \frac{2 ln ( 83 )}{ln ( 10 )}

x = \frac{2 ln ( 83 )}{ln ( 10 )}

e^{x + 2} = \frac{1}{e}

9^{- 3 x + 2} = 48

3 \times 2^{x + 3} = 192

x, 2^{x} = 22

What is the answer to 10^{x/2}=83 ?
The answer to 10^{x/2}=83 is x=(2ln(83))/(ln(10))
Solve for x: 10^{x/2}=83
The solution is x=(2ln(83))/(ln(10))