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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

15 = 286.93 (0.973 8^{x})

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

Decimal Notation

x = 111.15864 \dots

Solution steps

15 = 286.93 (0.973 8^{x})

Switch sides

286.93 \cdot 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 )}

lo g_{5} (3^{2 x}) = 7

18 = 4 + e^{20 \cdot k} \cdot 21

e^{z} = - 2

7^{m + 6} = 8

2 5^{x} = \frac{1}{125}

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