What is the answer to 6^x=5^{x+1} ?

The answer to 6^x=5^{x+1} is x=(ln(5))/(ln(6)-ln(5))

Solve for x: 6^x=5^{x+1}

The solution is x=(ln(5))/(ln(6)-ln(5))

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6^{x} = 5^{x + 1}

x = \frac{ln ( 5 )}{ln ( 6 ) - ln ( 5 )}

Decimal Notation

x = 8.82746 \dots

Solution steps

6^{x} = 5^{x + 1}

Apply exponent rules

x ln (6) = (x + 1) ln (5)

Solve

x ln (6) = (x + 1) ln (5) : x = \frac{ln ( 5 )}{ln ( 6 ) - ln ( 5 )}

x = \frac{ln ( 5 )}{ln ( 6 ) - ln ( 5 )}

2^{x + 2} + 2 \cdot 4^{x} = 160

5^{x} = 4 + 5^{1 - x}

7^{3 x - 11} = 2401

1 0^{1 - x} = x - 9

79 = 3 1^{x}

What is the answer to 6^x=5^{x+1} ?
The answer to 6^x=5^{x+1} is x=(ln(5))/(ln(6)-ln(5))
Solve for x: 6^x=5^{x+1}
The solution is x=(ln(5))/(ln(6)-ln(5))