What is the answer to log_{b}(2)=1.73 ?

The answer to log_{b}(2)=1.73 is b=2^{100/173}

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log_{b}(2)=1.73

lo g_{b} (2) = 1.73

b = 2^{\frac{100}{173}}

Decimal Notation

b = 1.49281 \dots

Solution steps

lo g_{b} (2) = 1.73

Apply log rules

\frac{1}{lo g _{2} ( b )} = 1.73

Multiply both sides by

lo g_{2} (b)

\frac{1}{lo g _{2} ( b )} lo g_{2} (b) = 1.73 lo g_{2} (b)

Simplify

1 = 1.73 lo g_{2} (b)

Switch sides

1.73 lo g_{2} (b) = 1

Multiply both sides by

100

173 lo g_{2} (b) = 100

Divide both sides by

173

lo g_{2} (b) = \frac{100}{173}

Apply log rules

b = 2^{\frac{100}{173}}

Verify Solutions:

b = 2^{\frac{100}{173}}

True

The solution is

b = 2^{\frac{100}{173}}

ln (x + 4) = 2 ln (x) + ln (4)

x^{(l o g_{10} (x))} = 100 x

ln (x) = 5.297293, x

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

9.3 = - lo g_{10} (x)

What is the answer to log_{b}(2)=1.73 ?
The answer to log_{b}(2)=1.73 is b=2^{100/173}
Solve for b: log_{b}(2)=1.73
The solution is b=2^{100/173}