Question

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

Answer 1

Answer:

The value of x  is 500

Step-by-step 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$\frac{m}{n}$

So,  log20x³ -  logx² =  $log\frac{20x^{3}}{x^{2}}$

Or,   $log\frac{20x^{3}}{x^{2}}$ = 4

So $\frac{20x^{3}}{x^{2}}$ = $10^{4}$      ( antilog property)

Or, 20 x = 10000

∴         x = 500

Hence The value of x  is 500    Answer