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Popular >

6^x-4*3^x=0

Solution

6^{x} - 4 \cdot 3^{x} = 0

Solution

x = 2

Solution steps

6^{x} - 4 \cdot 3^{x} = 0

Add

4 \cdot 3^{x}

to both sides

6^{x} - 4 \cdot 3^{x} + 4 \cdot 3^{x} = 0 + 4 \cdot 3^{x}

Simplify

6^{x} = 4 \cdot 3^{x}

Apply exponent rules

x ln (6) = ln (4) + x ln (3)

Solve

x ln (6) = ln (4) + x ln (3) : x = 2

x = 2

Popular Examples

(3e^x)/((3+e^x)^2)=0

\frac{3 e ^{x}}{( 3 + e ^{x} ) ^{2}} = 0

32^{2x-3}=2^{x+3}

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

4 e^{x} = e^{4 x}

1.0 4^{x} = 1.8

2^{x} = - x + 6

Frequently Asked Questions (FAQ)

What is the answer to 6^x-4*3^x=0 ?
The answer to 6^x-4*3^x=0 is x=2
Solve for x: 6^x-4*3^x=0
The solution is x=2