en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3^{2+x}=3^x+1944

Solution

3^{2 + x} = 3^{x} + 1944

Solution

x = 5

Solution steps

3^{2 + x} = 3^{x} + 1944

Subtract

3^{x}

from both sides

3^{2 + x} - 3^{x} = 3^{x} + 1944 - 3^{x}

Simplify

3^{2 + x} - 3^{x} = 1944

Factor

3^{2 + x} - 3^{x} : 8 \cdot 3^{x}

8 \cdot 3^{x} = 1944

Divide both sides by

8

3^{x} = 243

Apply exponent rules

x = 5

Popular Examples

7^{x-2}=5^{3-x}

7^{x - 2} = 5^{3 - x}

solvefor x,antilog_{10}(25)=32^x solve for

x, an t i lo g_{10} (25) = 3 2^{x}

solvefor x,5^{x+1}=10 solve for

x, 5^{x + 1} = 10

4^{x - 8} = 8

4^{x - 8} = 6

Frequently Asked Questions (FAQ)

What is the answer to 3^{2+x}=3^x+1944 ?
The answer to 3^{2+x}=3^x+1944 is x=5
Solve for x: 3^{2+x}=3^x+1944
The solution is x=5