Question

Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. a. −1.594

b. 0.465 c. 2.406 d. 4.465

Answer 1

b.0.465

Explanation:

Given, expression is

We have to solve the above expression using change of base formula which is given as

Now, let us first apply logarithm for the given expression.

Then given expression turns into as,

By using change of base formula,

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Answer 2

Answer:B 0.465

Explanation:

log b y =log y/log b

X+2 = Log 15/log 3

log y =1.176091259

Log b=0.4771212547

x+2 =1.176091259/0.4771212547

X+2=2.464973521

X=2.464973521 - 2

X=0.4649735207

=B 0.465