HELP! What is the solution to the equation below? Round your answer to two decimal places. 4x = 20 A. x = 2.99 B. x = 0.46 C. x = 1.30 D. x = 2.16

Question

asked Nov 9, 2021 17.8k views

1 Answer

KifoPL · Answer 1 · 2021-11-13T20:12:05+0000

Answer: D. x = 2.16

Explanation:

The given equation is
4^x= 20

Taking log on both sides, we get

$\log 4^x =\log 20$

Using properties of logarithm

$\log a^b=b\loga$

We have,

$x\log 4= \log 20\\\\\Rightarrow\ x=(\log 20)/(\log 4)\\\\\Rightarrow\ x=\log (1.3010)/(0.6021) \\\\\Rightarrow\ x= 2.1608\approx 2.16$

Hence, the solution to the given equation is x = 2.16.

So the correct option is D.