Question

Log(5)x=2log(5)4+log(5)0,75

Answer 1

$log_5x=log_54^2+log_50,75 \\ log_5x=log_5(16*0,75) \\ log_5x=log_512 \\ x=12.$

Answer 2

To solve the equation log(5)x = 2log(5)4 + log(5)0.75, we can simplify the expression on the right side using logarithmic properties and then solve for x.

Using the logarithmic property log(a)b = c is equivalent to b = a^c, we can rewrite the equation as:

x = 4^2 * 0.75

x = 16 * 0.75

x = 12

Therefore, the solution to the equation log(5)x = 2log(5)4 + log(5)0.75 is x = 12.