Which equation is equivalent to (1/3)^x = 27 ^x + 2

Explanation:

We have been given with the expression

Now, to solve the equation firstly we have to make the base same on both sides

27 can be written as

Hence, given expression can be rewritten as

Now since, base is same we can equate the powers on both sides

Therefore given expression is equivalent to

Equivalent means the simplified form of any given expression

To find the equivalent expression, we need to expand the given expression by using  law of indices.

The equation is equivalent to .

Given:

The given equation is .

Solving left hand side of the equation.

Apply the law of indices.

Solving right hand side of the equation.

Thus, the equation is equivalent to .

Learn more about law of indices here:

link

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

answer are

step-by-step explanation: