What is the answer to 10-8(1/2)^x=5 ?

The answer to 10-8(1/2)^x=5 is x=-(ln(5/8))/(ln(2))

Solve for x: 10-8(1/2)^x=5

The solution is x=-(ln(5/8))/(ln(2))

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10 - 8 (\frac{1}{2})^{x} = 5

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

Decimal

x = 0.67807 \dots

Solution steps

10 - 8 (\frac{1}{2})^{x} = 5

Move

10

to the right side

- 8 (\frac{1}{2})^{x} = - 5

Divide both sides by

- 8

(\frac{1}{2})^{x} = \frac{5}{8}

Apply exponent rules

x ln (\frac{1}{2}) = ln (\frac{5}{8})

Solve

x ln (\frac{1}{2}) = ln (\frac{5}{8}) : x = - \frac{ln ( \frac{5}{8} )}{ln ( 2 )}

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

2^{x} = 3 2^{x - 16}

2^{- x} = \frac{1}{8}

e^{5 x} = 18

6^{x + 2} - 6^{x - 1} = 215 \times 6^{2}

2^{x - 1} = 0

What is the answer to 10-8(1/2)^x=5 ?
The answer to 10-8(1/2)^x=5 is x=-(ln(5/8))/(ln(2))
Solve for x: 10-8(1/2)^x=5
The solution is x=-(ln(5/8))/(ln(2))