Antonio and Rocco are both solving the equation 3x = 81.

Antonio knows the solution to the equation because he knows a power of 3 that equals 81.

Rocco does not know a power of 3 that equals 81, so he graphs two equations, y = 3x and y = 81.

Use the drop-down menus to complete the explanation about how Rocco can use his graph to solve the equation 3x = 81.

x = 9

Step-by-step explanation:

The x-value at which the two graphs intersect is the value that solves the equation

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

sweetheart, there isn't a cube below.