Question

What is the value of x?please I need step by step solution​

Answer 1

Step-by-step explanation:

We apply the log rule that states that if there is a number multiplied by a log, the number becomes exponent of the argument of the log:

3 = log(8) + log(x^3)

Now we have sum of logs. Another property tells us that 2 logs with the same base a, that are added together, are equal to the log in base a of the product of the arguments:

3 = log(8x^3)

Now for definition of log:

10 ^ 3 = x^3

Therefore:

x = 10

Answer 2

Answer:

Value of $x=5$

Step-by-step explanation:

Given that

$3=\log _{10}(8)+3 \log _{10}(x)\\\\3=\log _{10}(8)+\log _{10}(x^3)\\\\3=\log _{10}(8x^3)\\\\8x^3=10^3\\\\x^3=125\\\\x=5$