What is the answer to 6^{8x+5}=5^{x-3} ?

The answer to 6^{8x+5}=5^{x-3} is x=(-3ln(5)-5ln(6))/(8ln(6)-ln(5))

Solve for x: 6^{8x+5}=5^{x-3}

The solution is x=(-3ln(5)-5ln(6))/(8ln(6)-ln(5))

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6^{8 x + 5} = 5^{x - 3}

x = \frac{- 3 ln ( 5 ) - 5 ln ( 6 )}{8 ln ( 6 ) - ln ( 5 )}

Decimal Notation

x = - 1.08349 \dots

Solution steps

6^{8 x + 5} = 5^{x - 3}

Apply exponent rules

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

Solve

(8 x + 5) ln (6) = (x - 3) ln (5) : x = \frac{- 3 ln ( 5 ) - 5 ln ( 6 )}{8 ln ( 6 ) - ln ( 5 )}

x = \frac{- 3 ln ( 5 ) - 5 ln ( 6 )}{8 ln ( 6 ) - ln ( 5 )}

7^{2 x - 3} = 21

5^{x - 3} = 25

3^{x + 2} + 9^{x - 1} = 90

7^{2 x + 3} + 42 \times 7^{x} - 1 = 0

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

What is the answer to 6^{8x+5}=5^{x-3} ?
The answer to 6^{8x+5}=5^{x-3} is x=(-3ln(5)-5ln(6))/(8ln(6)-ln(5))
Solve for x: 6^{8x+5}=5^{x-3}
The solution is x=(-3ln(5)-5ln(6))/(8ln(6)-ln(5))