Urgent -
solve 3^(2x) = 7^(x−1).
it's an exponential equation.

x=1−log9log7=−0.12915, nearly.

Equating logarithms,

2xlog3=(x−1)log7

Solving, , x=1−log9log7=−0.12915, nearly.#

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is