Solve x*log2(8x^3) = 3 - ScanMath

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Type your math problem... x*log2(8x^3) = 3

Question

Solve the equation

x_{1} = - \frac{4 6 ( lo g _{10} ( 2 ) ) ^{3}}{2 lo g _{10} ( 2 )}, x_{2} = \frac{4 6 ( lo g _{10} ( 2 ) ) ^{3}}{2 lo g _{10} ( 2 )}

Alternative Form

x_{1} \approx - 1.056466, x_{2} \approx 1.056466

Evaluate

x lo g_{10} (2) \times 8 x^{3} = 3

Multiply

More Steps

8 lo g_{10} (2) \times x^{4} = 3

Divide both sides

\frac{8 lo g _{10} ( 2 ) \times x ^{4}}{8 lo g _{10} ( 2 )} = \frac{3}{8 lo g _{10} ( 2 )}

Divide the numbers

x^{4} = \frac{3}{8 lo g _{10} ( 2 )}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4 \frac{3}{8 lo g _{10} ( 2 )}

Simplify the expression

More Steps

x = \pm \frac{2 ^{2} 4 6 lo g _{10} ( 2 )}{64 lo g _{10} ( 2 )}

Separate the equation into 2 possible cases

x = \frac{2 ^{2} 4 6 lo g _{10} ( 2 )}{64 lo g _{10} ( 2 )} x = - \frac{2 ^{2} 4 6 lo g _{10} ( 2 )}{64 lo g _{10} ( 2 )}

Calculate

More Steps

x = \frac{4 6 ( 64 lo g _{10} ( 2 ) ) ^{2} \times lo g _{10} ( 2 )}{2 ^{4} lo g _{10} ( 2 )} x = - \frac{2 ^{2} 4 6 lo g _{10} ( 2 )}{64 lo g _{10} ( 2 )}

Calculate

More Steps

x = \frac{4 6 ( 64 lo g _{10} ( 2 ) ) ^{2} \times lo g _{10} ( 2 )}{2 ^{4} lo g _{10} ( 2 )} x = - \frac{4 6 ( 64 lo g _{10} ( 2 ) ) ^{2} \times lo g _{10} ( 2 )}{2 ^{4} lo g _{10} ( 2 )}

Calculate

More Steps

x = \frac{4 6 ( lo g _{10} ( 2 ) ) ^{3}}{2 lo g _{10} ( 2 )} x = - \frac{4 6 ( 64 lo g _{10} ( 2 ) ) ^{2} \times lo g _{10} ( 2 )}{2 ^{4} lo g _{10} ( 2 )}

Calculate

More Steps

x = \frac{4 6 ( lo g _{10} ( 2 ) ) ^{3}}{2 lo g _{10} ( 2 )} x = - \frac{4 6 ( lo g _{10} ( 2 ) ) ^{3}}{2 lo g _{10} ( 2 )}

Solution

x_{1} = - \frac{4 6 ( lo g _{10} ( 2 ) ) ^{3}}{2 lo g _{10} ( 2 )}, x_{2} = \frac{4 6 ( lo g _{10} ( 2 ) ) ^{3}}{2 lo g _{10} ( 2 )}

Alternative Form

x_{1} \approx - 1.056466, x_{2} \approx 1.056466

Show Solution

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