Question

What is the solution to the equation below? Round your answer to two

Answer 1

The solution of the logarithmic equation is approximately 5.66 .

The logarithm is a simpler way to write a exponential equation.

The exponential equation nˣ = b is written as logₙ b = x ( read as logarithm of b to the base of n is equal to x).

The various properties of logarithm are:

• log x+ log y= log x y
• log x - log y= log(x/y)
• log xⁿ=n log x

The given equation is :

log₂ x = 2.5

This equation is of the form  logₐ b=n

We know that from the properties of logarithm logₐ b=n is equivalent to aⁿ=b.

So the given equation can be written as

$x=2^{2.5}$

Solving we get

x=5.6568....

or, x≈5.66

Therefore the logarithm equation has a solution for x where the value of x is approximately 5.66.

To learn more about logarithm visit:

brainly.com/question/28346542

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