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Popular >

64^{2n}=512^{x+3}

Solution

6 4^{2 n} = 51 2^{x + 3}

Solution

x = \frac{4 n}{3} - 3

Solution steps

6 4^{2 n} = 51 2^{x + 3}

Apply exponent rules

4 n = 3 (x + 3)

Solve

4 n = 3 (x + 3) : x = \frac{4 n}{3} - 3

x = \frac{4 n}{3} - 3

Graph

Popular Examples

(e^{2x})/(3+e^{2x)}= 1/2

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

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

\frac{5 ^{- 2 x}}{5 ^{3 x}} = 5^{3 - x}

\frac{1}{4} = 6 4^{x}

roots e^{-x}-x roots

e^{- x} - x

(100)/(e^{2x)}=(300)/(e^{4x)}

\frac{100}{e ^{2 x}} = \frac{300}{e ^{4 x}}

Frequently Asked Questions (FAQ)

What is the answer to 64^{2n}=512^{x+3} ?
The answer to 64^{2n}=512^{x+3} is x=(4n)/3-3