What is the answer to 6^x=3^{x+5} ?

The answer to 6^x=3^{x+5} is x=(5ln(3))/(ln(2))

Solve for x: 6^x=3^{x+5}

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

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6^{x} = 3^{x + 5}

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

Decimal Notation

x = 7.92481 \dots

Solution steps

6^{x} = 3^{x + 5}

Apply exponent rules

x ln (6) = (x + 5) ln (3)

Solve

x ln (6) = (x + 5) ln (3) : x = \frac{5 ln ( 3 )}{ln ( 2 )}

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

2 5^{2 x} = 5^{x^{2} - 12}

0. 5^{\frac{x}{10}} = 0.125

4 9^{x + 1} = 7

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

e^{t} = 0

What is the answer to 6^x=3^{x+5} ?
The answer to 6^x=3^{x+5} is x=(5ln(3))/(ln(2))
Solve for x: 6^x=3^{x+5}
The solution is x=(5ln(3))/(ln(2))