What is the answer to 286.93(0.9738^x)=15 ?

The answer to 286.93(0.9738^x)=15 is x=(ln(1500/28693))/(ln(0.9738))

Solve for x: 286.93(0.9738^x)=15

The solution is x=(ln(1500/28693))/(ln(0.9738))

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286.93 (0.973 8^{x}) = 15

x = \frac{ln ( \frac{1500}{28693} )}{ln ( 0.9738 )}

Decimal Notation

x = 111.15864 \dots

Solution steps

286.93 (0.973 8^{x}) = 15

Multiply both sides by

100

28693 \cdot 0.973 8^{x} = 1500

Divide both sides by

28693

0.973 8^{x} = \frac{1500}{28693}

Apply exponent rules

x ln (0.9738) = ln (\frac{1500}{28693})

Solve

x ln (0.9738) = ln (\frac{1500}{28693}) : x = \frac{ln ( \frac{1500}{28693} )}{ln ( 0.9738 )}

x = \frac{ln ( \frac{1500}{28693} )}{ln ( 0.9738 )}

e^{x - 3} = x - 1

e^{4 - 4 x} = 9

e^{2 x} = 12 + 11 e^{x}

343 (7^{2 x}) - 56 (7^{x}) + 1 = 0

2 = 1^{x}

What is the answer to 286.93(0.9738^x)=15 ?
The answer to 286.93(0.9738^x)=15 is x=(ln(1500/28693))/(ln(0.9738))
Solve for x: 286.93(0.9738^x)=15
The solution is x=(ln(1500/28693))/(ln(0.9738))