What is the answer to 30=286.93(0.9738^x) ?

The answer to 30=286.93(0.9738^x) is x=(ln(3000/28693))/(ln(0.9738))

Solve for x: 30=286.93(0.9738^x)

The solution is x=(ln(3000/28693))/(ln(0.9738))

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30 = 286.93 (0.973 8^{x})

x = \frac{ln ( \frac{3000}{28693} )}{ln ( 0.9738 )}

Decimal Notation

x = 85.05075 \dots

Solution steps

30 = 286.93 (0.973 8^{x})

Switch sides

286.93 \cdot 0.973 8^{x} = 30

Multiply both sides by

100

28693 \cdot 0.973 8^{x} = 3000

Divide both sides by

28693

0.973 8^{x} = \frac{3000}{28693}

Apply exponent rules

x ln (0.9738) = ln (\frac{3000}{28693})

Solve

x ln (0.9738) = ln (\frac{3000}{28693}) : x = \frac{ln ( \frac{3000}{28693} )}{ln ( 0.9738 )}

x = \frac{ln ( \frac{3000}{28693} )}{ln ( 0.9738 )}

4^{(x)} + 2^{(x + 2)} = 3

4 \cdot 1 0^{2 x} = 1

lo g_{10} (3^{x}) = 2

5^{x - 4} = 7

4^{3 x - 1} = 3 2^{x + 6}

What is the answer to 30=286.93(0.9738^x) ?
The answer to 30=286.93(0.9738^x) is x=(ln(3000/28693))/(ln(0.9738))
Solve for x: 30=286.93(0.9738^x)
The solution is x=(ln(3000/28693))/(ln(0.9738))