Question

Solve the equation shown below for x. Round your answer to the nearest thousandth:

A. -3.678
B. 1.921
C. -1.079
D. 4.921

Answer 1

i think its D

Answer 2

Almost by inspection: \(5^{x+3} = 22\). This makes 1 < x+3 < 2 or -2 < x < -1. If we have to, definitely leaning toward the -1 side, -2 << x < -1.

Looks like only one candidate. It's no tD.

Answer 3

-1.079 is in between that range :)

Answer 4

That's all there is to it. If this is a timed test, you just saved a lot of time!

Answer 5

Thanks:) @tkhunny and ps it is

Answer 6

Are you good at matrix equations its my last question and its hard can you help me please

Answer 7

More exact: -1.0794273395216288765306916512521

Answer 8

Post and tag on another thread.

Answer 9

ok thanks!