Solve 5-3^x=-40 round to the nearest ten-thousandth

5-3^x = - 40

subtract 5 from each side to get

-3^x=-45

divide both sides by - 1 to make them positive

3^x = 45

need to do the natural logarithm on both sides to remove the variable from the exponent

so ln (3^x) = ln (45)

use logarithm rule to move x out

x ln (3) = ln (45)

dive each term by ln (3) then simplify to get

ln (3) / ln (45)

so x = ln (3) / ln (45) which calculates out to 3.46497352

round off to ten thousandths is 3.4650