# How do you solve #2^(n+4)=1/32#?

##### 2 Answers

Apr 22, 2018

#### Explanation:

Apply the natural logarithm to both sides:

Recall the logarithm quotient rule, which tells us that

Furthermore, recall the logarithm exponent rule:

Solve for

Apr 22, 2018

#### Explanation:

#"note that "1/32=1/2^5=2^-5#

#rArr2^(n+4)=2^-5larrcolor(blue)"equation to be solved"#

#"Since the bases on both sides of the equation are equal"#

#"that is both 2, we can equate the exponents"#

#rArrn+4=-5rArrn=-9#