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
The answer is II and III, which is the last choice from above. This is because the symbol "less than (or equal to)" indicated a conjunction, which means we have to take into account that the absolute value can be less than or equal to 15, and greater than or equal to -15. This solution set falls in between the two values, hence, the conjunction.
Answer:
Make it shorter so i can help you
Step-by-step explanation:
If the volume of cube x divided by the volume of cube y is 27, then <span>he side length of cube x divided by side length of cube y would be 3. This is computed by solving the cube root of 27, since the side of the cube was multiplied thrice to get the volume so when geeting the side of the cube it is best to have the number be in cube root form.</span>