What is the answer to 23=520(0.5)^{x/7} ?

The answer to 23=520(0.5)^{x/7} is x=(7ln(23/520))/(ln(0.5))

Solve for x: 23=520(0.5)^{x/7}

The solution is x=(7ln(23/520))/(ln(0.5))

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23 = 520 (0.5)^{\frac{x}{7}}

x = \frac{7 ln ( \frac{23}{520} )}{ln ( 0.5 )}

Decimal Notation

x = 31.49164 \dots

Solution steps

23 = 520 (0.5)^{\frac{x}{7}}

Switch sides

520 \cdot 0. 5^{\frac{x}{7}} = 23

Divide both sides by

520

0. 5^{\frac{x}{7}} = \frac{23}{520}

Apply exponent rules

\frac{x}{7} ln (0.5) = ln (\frac{23}{520})

Solve

\frac{x}{7} ln (0.5) = ln (\frac{23}{520}) : x = \frac{7 ln ( \frac{23}{520} )}{ln ( 0.5 )}

x = \frac{7 ln ( \frac{23}{520} )}{ln ( 0.5 )}

9^{3 x - 4} = \frac{1}{8 1 ^{2 x - 5}}

3^{x^{2}} = 7

9 e^{x} = 107

2^{b} = 7

77 = 2 3^{x}

What is the answer to 23=520(0.5)^{x/7} ?
The answer to 23=520(0.5)^{x/7} is x=(7ln(23/520))/(ln(0.5))
Solve for x: 23=520(0.5)^{x/7}
The solution is x=(7ln(23/520))/(ln(0.5))