Question

What is the approximate value of this logarithmic expression?

Answer 1

The approximate value of $log_{8}24$ is 1.52832 or 1.53.

What is the logarithmic Expression?

A logarithmic expression is an function that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.

Here $log_{8}24$ = $log_{2^{3} }24$

                   = $\frac{1}{3} log_{2}24$

                   = $\frac{1}{3} log_{2}{8.3}$

                   = $\frac{1}{3} log_{2}8 + \frac{1}{3} log_{2}3$

                   = $\frac{1}{3} log_{2}2^3 + \frac{1}{3} log_{2}3$

                   = $\frac{3}{3} log_{2}2 +\frac{1}{3} log_{2}3$

                   =  $1 + \frac{1}{3} log_{2}3$

                   = 1 + 0.5283

      l$log_{8}24$  ≈ 1.53

The approximate value of $log_{8}24$  is 1.52832 or 1.53.

Learn more about Logarithmic expression from :

brainly.com/question/20785664

#SPJ1