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Popular >

4^x-16^{x-2}=0

Solution

4^{x} - 1 6^{x - 2} = 0

Solution

x = 4

Solution steps

4^{x} - 1 6^{x - 2} = 0

Add

1 6^{x - 2}

to both sides

4^{x} - 1 6^{x - 2} + 1 6^{x - 2} = 0 + 1 6^{x - 2}

Simplify

4^{x} = 1 6^{x - 2}

Apply exponent rules

x = 2 (x - 2)

Solve

x = 2 (x - 2) : x = 4

x = 4

Popular Examples

(15)/(1+2e^{-0.5n)}=1.8

\frac{15}{1 + 2 e ^{- 0.5 n}} = 1.8

(2x-5)^x=(2x-5)^{3x-4}

(2 x - 5)^{x} = (2 x - 5)^{3 x - 4}

x e^{x} + 2 e^{x} = 0

(2^x)^3=8^{-x+3}

(2^{x})^{3} = 8^{- x + 3}

e^{x} = 28

Frequently Asked Questions (FAQ)

What is the answer to 4^x-16^{x-2}=0 ?
The answer to 4^x-16^{x-2}=0 is x=4
Solve for x: 4^x-16^{x-2}=0
The solution is x=4