What is the answer to 10^{2x}=8 ?

The answer to 10^{2x}=8 is x=(3ln(2))/(2ln(10))

Solve for x: 10^{2x}=8

The solution is x=(3ln(2))/(2ln(10))

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1 0^{2 x} = 8

x = \frac{3 ln ( 2 )}{2 ln ( 10 )}

Decimal Notation

x = 0.45154 \dots

Solution steps

1 0^{2 x} = 8

Apply exponent rules

2 x ln (10) = ln (8)

Solve

2 x ln (10) = ln (8) : x = \frac{3 ln ( 2 )}{2 ln ( 10 )}

x = \frac{3 ln ( 2 )}{2 ln ( 10 )}

9^{x + 1} = 2 7^{5 x - 5}

190 = 70 + 130 (\frac{13}{12})^{- t}

2 7^{x - 1} = 3^{x + 5}

25000 = 50000 (0.9)^{x - 1}

5^{4 x + 2} = 7^{x + 5}

What is the answer to 10^{2x}=8 ?
The answer to 10^{2x}=8 is x=(3ln(2))/(2ln(10))
Solve for x: 10^{2x}=8
The solution is x=(3ln(2))/(2ln(10))