Question

write the logarithmic form of 3 root 8 is equal to 2​

Answer 1

Answer:

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Answer 2

Given:

An expression$3\sqrt{8}=2$,

To Find:

The given expression in logarithmic form?

Solution:

The given problem can be solved by using the concepts of logarithms.

1. The given expression is$3\sqrt{8}=2$,

2. Consider a term$a^x$$=y$, according to the properties of logarithms the given power form can also be written as logarithmic form i.e,

=>$a^x$ = y,

=>$x=$ $log_{a}y$.

3. $3\sqrt{8}=2$ in logarithmic form can be written as,

=> $\sqrt{8}$ = (2/3),

=>$8^{1/2} = \frac{2}{3}$,

=>$\frac{1}{2} = log_{2/3} 8$.

4. Logarithm of a number can never be negative, the base of the logarithm can never be negative or zero. A logarithm and an integer cannot be added directly. There are separate operations on logarithms only.