The approximate value of [tex]log_{8}24[/tex] 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 [tex]log_{8}24[/tex] = [tex]log_{2^{3} }24[/tex]
= [tex]\frac{1}{3} log_{2}24[/tex]
= [tex]\frac{1}{3} log_{2}{8.3}[/tex]
= [tex]\frac{1}{3} log_{2}8 + \frac{1}{3} log_{2}3[/tex]
= [tex]\frac{1}{3} log_{2}2^3 + \frac{1}{3} log_{2}3[/tex]
= [tex]\frac{3}{3} log_{2}2 +\frac{1}{3} log_{2}3[/tex]
= [tex]1 + \frac{1}{3} log_{2}3[/tex]
= 1 + 0.5283
l[tex]log_{8}24[/tex] ≈ 1.53
The approximate value of [tex]log_{8}24[/tex] is 1.52832 or 1.53.
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