What is the answer to 3log_{4}(x+2)=5 ?

The answer to 3log_{4}(x+2)=5 is x=4*4^{2/3}-2

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3log_{4}(x+2)=5

3 lo g_{4} (x + 2) = 5

x = 4 \cdot 4^{\frac{2}{3}} - 2

Decimal

x = 8.07936 \dots

Solution steps

3 lo g_{4} (x + 2) = 5

Divide both sides by

3

lo g_{4} (x + 2) = \frac{5}{3}

Apply log rules

x + 2 = 4 \cdot 4^{\frac{2}{3}}

Solve

x + 2 = 4 \cdot 4^{\frac{2}{3}} : x = 4 \cdot 4^{\frac{2}{3}} - 2

x = 4 \cdot 4^{\frac{2}{3}} - 2

Verify Solutions:

x = 4 \cdot 4^{\frac{2}{3}} - 2

True

The solution is

x = 4 \cdot 4^{\frac{2}{3}} - 2

lo g_{2} (1 - x) = 3

lo g_{10} (x) = 1 + lo g_{10} (22 - x)

ln (x) + ln (3) = 5

x, ln (2 x) = 5

lo g_{\frac{1}{3}} (x - 2) = - 2

What is the answer to 3log_{4}(x+2)=5 ?
The answer to 3log_{4}(x+2)=5 is x=4*4^{2/3}-2
Solve for x: 3log_{4}(x+2)=5
The solution is x=4*4^{2/3}-2