What is the answer to 10^{x+8}=6^{2x} ?

The answer to 10^{x+8}=6^{2x} is x=(8ln(10))/(ln(18/5))

Solve for x: 10^{x+8}=6^{2x}

The solution is x=(8ln(10))/(ln(18/5))

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1 0^{x + 8} = 6^{2 x}

x = \frac{8 ln ( 10 )}{ln ( \frac{18}{5} )}

Decimal Notation

x = 14.38066 \dots

Solution steps

1 0^{x + 8} = 6^{2 x}

Apply exponent rules

(x + 8) ln (10) = 2 x ln (6)

Solve

(x + 8) ln (10) = 2 x ln (6) : x = \frac{8 ln ( 10 )}{ln ( \frac{18}{5} )}

x = \frac{8 ln ( 10 )}{ln ( \frac{18}{5} )}

34.416 e^{- 0.18 t} = 6

(16 + \frac{0.878}{26})^{3 t} = 30

2^{5 x} = 10

4^{1 - x} = 3^{2 x + 4}

2 7^{3 x + 5} = 8 1^{4 x + 1}

What is the answer to 10^{x+8}=6^{2x} ?
The answer to 10^{x+8}=6^{2x} is x=(8ln(10))/(ln(18/5))
Solve for x: 10^{x+8}=6^{2x}
The solution is x=(8ln(10))/(ln(18/5))