Solve log2(x) = 4.5, accurate to two decimal places.

When you are given a log function in the form of
log a (x) = b

this is the same as saying that a^b = x
(a to the power of b is equal to x)

So in your question, 2^4.5 = x
Try entering this into your calculator and see if you get the right answer :)

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abidemiokin abidemiokin · Answer 2 · 2021-10-15T11:40:31+02:00

The value of x from the given logarithmic equation is 22.63 to two decimal places.

According to the law of indices,

If [tex]log_ab=x[/tex], then [tex]a^x = b[/tex]

Given the logarithmic equation [tex]log_2x=4.5[/tex]

Comparing this equation with the general formula, we can see that:

a = 2,

b = x

x = 4.5

Substituting this result in the formula, the equation becomes;

[tex]x = 2^{4.5}\\x=22.627\\x\approx22.63[/tex]

Hence the value of x from the given logarithmic equation is 22.63 to two decimal places.

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