What is the answer to 2(8^x)-1=9 ?

The answer to 2(8^x)-1=9 is x=(ln(5))/(3ln(2))

Solve for x: 2(8^x)-1=9

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

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2 (8^{x}) - 1 = 9

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

Decimal Notation

x = 0.77397 \dots

Solution steps

2 (8^{x}) - 1 = 9

Move

1

to the right side

2 \cdot 8^{x} = 10

Divide both sides by

2

8^{x} = 5

Apply exponent rules

x ln (8) = ln (5)

Solve

x ln (8) = ln (5) : x = \frac{ln ( 5 )}{3 ln ( 2 )}

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

a \cdot b^{t} = c \cdot d^{t}

2^{1000} = 4^{x}

69.53 = 14 + 56 e^{- k (5)}

(3)^{3 - x} = 9^{x + 2}

2^{n} = 16

What is the answer to 2(8^x)-1=9 ?
The answer to 2(8^x)-1=9 is x=(ln(5))/(3ln(2))
Solve for x: 2(8^x)-1=9
The solution is x=(ln(5))/(3ln(2))