MATH! I need help <span title="!PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE?">!PLEASEEEEEEEEEEEEEEEEEEE...</span>

Question

Use logarithms to solve the equation for x. [Hint: take logs of both sides and simplify]

10^{x+3}=0.3

Answer 1

No problem...

log (10^ (x+3)) = log 0.3

Log of a power theorem says move the exponent out in front

(x+3) * log 10 = log 0.3

log 10 is equal to 1

(x + 3) = -0.522878745

Subtract 3 from both sides

x = about  - 3.522878745

Good luck to you !!

Answer 2

taking the log of both sides

(x + 3) (log 10) = log 0.3

we know that log 10 = , so

x + 3 = log 0.3

x = -3 + log 0.3 = -3.52

ten points! thanks!