What is the answer to log_{4}(1/2 x+1)=3.2 ?

The answer to log_{4}(1/2 x+1)=3.2 is x=2*4^{3.2}-2

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log_{4}(1/2 x+1)=3.2

lo g_{4} (\frac{1}{2} x + 1) = 3.2

x = 2 \cdot 4^{3.2} - 2

Decimal Notation

x = 166.89701 \dots

Solution steps

lo g_{4} (\frac{1}{2} x + 1) = 3.2

Apply log rules

\frac{1}{2} x + 1 = 4^{3.2}

Solve

\frac{1}{2} x + 1 = 4^{3.2} : x = 2 \cdot 4^{3.2} - 2

x = 2 \cdot 4^{3.2} - 2

lo g_{10} (x) = 5.48

lo g_{3} (x^{3}) - lo g_{3} (9 x) = 2

lo g_{10} (2 x + 2) = 2

ln (x) = 0.2

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

What is the answer to log_{4}(1/2 x+1)=3.2 ?
The answer to log_{4}(1/2 x+1)=3.2 is x=2*4^{3.2}-2
Solve for x: log_{4}(1/2 x+1)=3.2
The solution is x=2*4^{3.2}-2