What is the answer to 10^{2x}=5 ?

The answer to 10^{2x}=5 is x=(ln(5))/(2ln(10))

Solve for x: 10^{2x}=5

The solution is x=(ln(5))/(2ln(10))

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1 0^{2 x} = 5

x = \frac{ln ( 5 )}{2 ln ( 10 )}

Solution steps

1 0^{2 x} = 5

Apply exponent rules

2 x ln (10) = ln (5)

Solve

2 x ln (10) = ln (5) : x = \frac{ln ( 5 )}{2 ln ( 10 )}

x = \frac{ln ( 5 )}{2 ln ( 10 )}

1 0^{2 x} = 8

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}

What is the answer to 10^{2x}=5 ?
The answer to 10^{2x}=5 is x=(ln(5))/(2ln(10))
Solve for x: 10^{2x}=5
The solution is x=(ln(5))/(2ln(10))