What is the exact value of the exponential equation, 5(10)4x=75 ? c. x=log15/4 d. x=log70/4

c

Step-by-step explanation:

using the law of logarithms

log ⇔ nlogx

given 5( = 75 ( divide both sides by 5 )

= 15 ( take log of both sides )

log = log15

4xlog10 = log15 ← log10 = 1

4x = log15 ( divide both sides by 4 )

x = → c

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).