Question

if log x base 8 = 0.6, then what is the value of x is​

Answer 1

Answer:

hello ,

Here, x= 8^3/5 .

Thank you! !

Answer 2

Answer:

   The value of x = 4.

Explanation:

• Logarithms are the other way of writing exponents. A logarithm of a number with a base is equal to an another number. A logarithm is just the opposite function of exponentiation function.

Hence, we can say that; $log_{b}$ (x) = n    (or)    $b^{n}$ = x

Where 'b' is the base of the logarithmic function.

This can read as “Logarithm of x to the base b is equal to n”.

• A logarithm can be defined as the power to which a number must be raised to get some other values. It is the most appropriate way to express large numbers.
• The logarithm of a positive real number "a" with respect to base "b", a positive real number not equal to $1^{[nb1]}$, is the exponent by which "b" must be raised to give "a".

• Given that log (x) base 8 = 0.6 and we want to find the value of x.

㏒₈ (x) = 0.6 ......... equation (1)

x = $8^{0.6}$

• 0.6 can be rewrite into a fractional. That is $\frac{2}{3}$ = 0.6

• Therefore, equation (1) can be written as;

㏒₈ (x) = $\frac{2}{3}$

∴ x = $8^{\frac{2}{3} }$

• We know that 8 is the cube of 2. That is 8 = $2^{3}$

⇒ x = $(2^{3} )^{\frac{2}{3} }$ = $(2)^{2}$

⇒ x = 4

• Therefore, the value of x = 4.

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