3²x+³(3x-²)=81 solve exponential equation

Since you mention "exponential", I suspect the equation is supposed to read

Recall that , so we can simplify the left side to get

and since 81 = 3⁴,

because the bases in the expressions on either side are the same.

Solve for x :

(2x + 3) + (x - 2) = 4

3x + 1 = 4

3x = 3

x = 1

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

so, converting firstly the mixed fractions to improper fractions and then "adding".