+0

# Algebra 2/Trig

0
143
1

If 10k = 64, what is the value of $$10^ {{k \over 2} + 1}$$? Answer without using log.

Guest Dec 27, 2017

#1
+92217
+3

If $$10^k = 64$$, what is the value of $$10^ {{k \over 2} + 1}$$?   Answer without using log.

$$10^{\frac{k}{2}+1}\\ =10^1*10^{\frac{k}{2}}\\ =10*(10^k)^{\frac{1}{2}}\\ =10*(64)^{\frac{1}{2}}\\ =10*8\\ =80$$

Melody  Dec 27, 2017
Sort:

#1
+92217
+3

If $$10^k = 64$$, what is the value of $$10^ {{k \over 2} + 1}$$?   Answer without using log.

$$10^{\frac{k}{2}+1}\\ =10^1*10^{\frac{k}{2}}\\ =10*(10^k)^{\frac{1}{2}}\\ =10*(64)^{\frac{1}{2}}\\ =10*8\\ =80$$

Melody  Dec 27, 2017

### 26 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details