7. If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is: (a) -10.0, (b) -0.5, (c) -0.4, (d) -0.2, (e) 10.0

please explain your thought process

The answer is c

Step-by-step explanation: My thought process is...

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].

x[-0.699] = 0.3010.

x = 0.3010/-0.699.

x = -0.4306….

x = -0.4 (nearest tenth)

Hopes this helps have a great day :)

correct

step-by-step explanation:

its d. the first coordintaes are 10,32

step-by-step explanation: