What is the answer to log_{2}(x/2)=1.9159300000000… ?

The answer to log_{2}(x/2)=1.9159300000000… is x=7.54713…

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log_{2}(x/2)=1.9159300000000…

lo g_{2} (\frac{x}{2}) = 1.9159300000000 \dots

x = 7.54713 \dots

Solution steps

lo g_{2} (\frac{x}{2}) = 1.91593 \dots

Apply log rules

\frac{x}{2} = 2^{1.91593 \dots}

Multiply both sides by

2

\frac{x}{2} \cdot 2 = 2^{1.91593 \dots} \cdot 2

Simplify

x = 2^{1.91593 \dots} \cdot 2

Solve

x = 2^{1.91593 \dots} \cdot 2 : x = 7.54713 \dots

x = 7.54713 \dots

Verify Solutions:

x = 7.54713 \dots

True

The solution is

x = 7.54713 \dots

lo g_{2} (x) = 40

ln (x^{2}) - 2 ln (x) - 3 = 0

lo g_{4} (7 x + 15) = 3

ln (x) + x = 30

x, lo g_{s} (x) = 0.25

What is the answer to log_{2}(x/2)=1.9159300000000… ?
The answer to log_{2}(x/2)=1.9159300000000… is x=7.54713…
Solve for x: log_{2}(x/2)=1.9159300000000…
The solution is x=7.54713…