Question

Which graph shows the solution to the equation below?
log3(x+2) = 1

Answer 1

Option A

Explanation:

Answer 2

Refer the attached figure of the graph (Option A) that shows the solution to the given equation

Explanation:

The given logarithmic equation is

`\log _(3)(x+2)=1`

The solution to this logarithmic equation is where the graph of

`y=\log _(3)(x+2)`

When comparing above with the given equation, we find that y = 1.

Now, find the 'x' value by using this. So, applying log base 3 rule on right side, we get as below,

`x+2=3^(1)`

x = 3 - 2 = 1

Plot the asymptote and the point (1 , 1). Sketch the log curve using those two reference facts. Hence, concluded the graph in option A as solution to the given equation.