What is the answer to 2^{0.6x}-3=0 ?

The answer to 2^{0.6x}-3=0 is x=(ln(3))/(0.6ln(2))

Solve for x: 2^{0.6x}-3=0

The solution is x=(ln(3))/(0.6ln(2))

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2^{0.6 x} - 3 = 0

x = \frac{ln ( 3 )}{0.6 ln ( 2 )}

Decimal Notation

x = 2.64160 \dots

Solution steps

2^{0.6 x} - 3 = 0

Add

3

to both sides

2^{0.6 x} - 3 + 3 = 0 + 3

Simplify

2^{0.6 x} = 3

Apply exponent rules

0.6 x ln (2) = ln (3)

Solve

0.6 x ln (2) = ln (3) : x = \frac{ln ( 3 )}{0.6 ln ( 2 )}

x = \frac{ln ( 3 )}{0.6 ln ( 2 )}

3^{2 x + 1} + 3^{x + 2} = 3 \frac{1}{3}

8^{x + 1} = 1

9 e^{3 x} = 1

a, 3^{a} + 4^{b} = 5^{c}

4 e^{4 x} = 8

What is the answer to 2^{0.6x}-3=0 ?
The answer to 2^{0.6x}-3=0 is x=(ln(3))/(0.6ln(2))
Solve for x: 2^{0.6x}-3=0
The solution is x=(ln(3))/(0.6ln(2))