What is the answer to 10^{5x}=8 ?

The answer to 10^{5x}=8 is x=(3ln(2))/(5ln(10))

Solve for x: 10^{5x}=8

The solution is x=(3ln(2))/(5ln(10))

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1 0^{5 x} = 8

x = \frac{3 ln ( 2 )}{5 ln ( 10 )}

Decimal

x = 0.18061 \dots

Solution steps

1 0^{5 x} = 8

Apply exponent rules

5 x ln (10) = ln (8)

Solve

5 x ln (10) = ln (8) : x = \frac{3 ln ( 2 )}{5 ln ( 10 )}

x = \frac{3 ln ( 2 )}{5 ln ( 10 )}

e^{2 x} - 5 e^{x} = 24

e^{\frac{x}{200}} + 2 e^{- \frac{x}{200}} = 4

6^{x + 1} = 1 3^{x}

5^{x + 1} + 5^{x} + 5^{x - 1} = 31

2^{x + 2} + 5 \times 2^{x - 1} = \frac{13}{16}

What is the answer to 10^{5x}=8 ?
The answer to 10^{5x}=8 is x=(3ln(2))/(5ln(10))
Solve for x: 10^{5x}=8
The solution is x=(3ln(2))/(5ln(10))