Question

What is the solution to the equation below?
log20x3 - 2 logx=4

Answer 1

D. 500

Explanation:

Correct answer on edge 2022.

Answer 2

The value of x is 500

Explanation:

Given as :

log20x³ - 2 logx = 4

From log property

`alogb = logb^(a)`

So , log20x³ - logx² = 4

Again From log property

log m- log n = log
`(m)/(n)`

So, log20x³ - logx² =
`log(20x^(3))/(x^(2))`

Or,
`log(20x^(3))/(x^(2))` = 4

So
`(20x^(3))/(x^(2))` =
`10^(4)` ( antilog property)

Or, 20 x = 10000

∴ x = 500

Hence The value of x is 500 Answer