Solve the question.
log₃2 log₃(x-4)=1

Solve the equation

log₃2 + log₃(x-4)=1

x = 11/2

Step-by-step explanation:

To solve this, we will follow the steps below:

log₃2 log₃(x-4)=1

applying  the rules of logarithm, logₐ b +   logₐ c  = logₐ(bc)

our equation becomes

log₃2+ log₃(x-4)=1

log₃(2)(x-4) = 1

Also log₃3 = 1

so we will substitute 1 by log₃3  in the equation

log₃(2)(x-4) =  log₃3

2(x-4) = 3

2x -8 = 3

add 8 to both-side of the equation

2x -8 + 8 = 3 + 8

2x = 11

divide both-side of the equation by 2

x = 11/2

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.