Answer:
The value of x is 500
Step-by-step explanation:
Given as :
log20x³ - 2 logx = 4
From log property
[tex]alogb = logb^{a}[/tex]
So , log20x³ - logx² = 4
Again From log property
log m- log n = log[tex]\frac{m}{n}[/tex]
So, log20x³ - logx² = [tex]log\frac{20x^{3}}{x^{2}}[/tex]
Or, [tex]log\frac{20x^{3}}{x^{2}}[/tex] = 4
So [tex]\frac{20x^{3}}{x^{2}}[/tex] = [tex]10^{4}[/tex] ( antilog property)
Or, 20 x = 10000
∴ x = 500
Hence The value of x is 500 Answer
