What is the answer to 8^{x+1}=10 ?

The answer to 8^{x+1}=10 is x=(ln(10))/(3ln(2))-1

Solve for x: 8^{x+1}=10

The solution is x=(ln(10))/(3ln(2))-1

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8^{x + 1} = 10

x = \frac{ln ( 10 )}{3 ln ( 2 )} - 1

Decimal Notation

x = 0.10730 \dots

Solution steps

8^{x + 1} = 10

Apply exponent rules

(x + 1) ln (8) = ln (10)

Solve

(x + 1) ln (8) = ln (10) : x = \frac{ln ( 10 )}{3 ln ( 2 )} - 1

x = \frac{ln ( 10 )}{3 ln ( 2 )} - 1

ln (e^{- 2 x}) = 8

2^{x} + 2^{x + 1} = 48

9^{x + 1} = 1 - 8 (3^{x})

e^{2 x} - 4 e^{x} = 0

1 0^{x + 5} = 125

What is the answer to 8^{x+1}=10 ?
The answer to 8^{x+1}=10 is x=(ln(10))/(3ln(2))-1
Solve for x: 8^{x+1}=10
The solution is x=(ln(10))/(3ln(2))-1