en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3*6^x=4.5(e^2)^x

Solution

3 \cdot 6^{x} = 4.5 (e^{2})^{x}

Solution

x = \frac{ln ( 4.5 ) - ln ( 3 )}{ln ( 6 ) - 2}

+1

Decimal Notation

x = - 1.94709 \dots

Solution steps

3 \cdot 6^{x} = 4.5 (e^{2})^{x}

Apply exponent rules

ln (3) + x ln (6) = ln (4.5) + 2 x

Solve

ln (3) + x ln (6) = ln (4.5) + 2 x : x = \frac{ln ( 4.5 ) - ln ( 3 )}{ln ( 6 ) - 2}

x = \frac{ln ( 4.5 ) - ln ( 3 )}{ln ( 6 ) - 2}

Popular Examples

solvefor x,3^x=27 solve for

x, 3^{x} = 27

solvefor x,3^x=81 solve for

x, 3^{x} = 81

3^{x} = 7^{1 - x}

solvefor x,3^x=4y solve for

x, 3^{x} = 4 y

4^{2x}+4^x-20=0

4^{2 x} + 4^{x} - 20 = 0

Frequently Asked Questions (FAQ)

What is the answer to 3*6^x=4.5(e^2)^x ?
The answer to 3*6^x=4.5(e^2)^x is x=(ln(4.5)-ln(3))/(ln(6)-2)