Question

What is the exact value of the exponential equation, 5(10)4x=75 ?

Answer 1

Answer:

c

Step-by-step explanation:

using the law of logarithms

log$x^{n}$ ⇔ nlogx

given 5($(10)^{4x}$ = 75 ( divide both sides by 5 )

$(10)^{4x}$ = 15 ( take log of both sides )

log$10^{4x}$ = log15

4xlog10 = log15 ← log10 = 1

4x = log15 ( divide both sides by 4 )

x = $\frac{log15}{4}$ → c