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Popular >

384e^8=(2^x)(7)

Solution

384 e^{8} = (2^{x}) (7)

Solution

x = \frac{ln ( \frac{384 e ^{8}}{7} )}{ln ( 2 )}

+1

Decimal Notation

x = 17.31916 \dots

Solution steps

384 e^{8} = (2^{x}) (7)

Switch sides

2^{x} \cdot 7 = 384 e^{8}

Divide both sides by

7

2^{x} = \frac{384 e ^{8}}{7}

Apply exponent rules

x ln (2) = ln (\frac{384 e ^{8}}{7})

Solve

x ln (2) = ln (\frac{384 e ^{8}}{7}) : x = \frac{ln ( \frac{384 e ^{8}}{7} )}{ln ( 2 )}

x = \frac{ln ( \frac{384 e ^{8}}{7} )}{ln ( 2 )}

Popular Examples

83 = 1 3^{x}

8 1^{2 x - 1} = \frac{1}{3}

6^{3x}=4^{2x-3}

6^{3 x} = 4^{2 x - 3}

3^{x} = 4^{x - 1}

9^x-3^{x+2}+18=0

9^{x} - 3^{x + 2} + 18 = 0

Frequently Asked Questions (FAQ)

What is the answer to 384e^8=(2^x)(7) ?
The answer to 384e^8=(2^x)(7) is x=(ln((384e^8)/7))/(ln(2))