SOLUTION: Which of the following represents the numerical solution of: log2((4^2)(2^3) a. 5 b. 12 c. 7 d. There is no numerical solution; this expression cannot be resolved

Algebra ->  Equations -> SOLUTION: Which of the following represents the numerical solution of: log2((4^2)(2^3) a. 5 b. 12 c. 7 d. There is no numerical solution; this expression cannot be resolved       Log On


   

Question 148205: Which of the following represents the numerical solution of: log2((4^2)(2^3)
a. 5
b. 12
c. 7
d. There is no numerical solution; this expression cannot be resolved

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%28%284%5E2%29%282%5E3%29%29%29 Start with the given expression.


log%282%2C%28%28%282%5E2%29%5E2%29%282%5E3%29%29%29 Rewrite 4 as 2%5E2


log%282%2C%28%282%5E4%29%282%5E3%29%29%29 Multiply the exponents.


log%282%2C%282%5E7%29%29 Multiply the terms by adding the exponents.


7%2Alog%282%2C%282%29%29 Rewrite the expression using the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29.



7%2A1 Evaluate log%282%2C%282%29%29 to get 1


7 Multiply


So log%282%2C%28%284%5E2%29%282%5E3%29%29%29=7