Solve the following exponential equation for x. show your work step by step.

Given:

The equation

Step-by-step explanation:

To simplify the given expression, we use the Laws of Exponents; that is, when the bases are the same in two sides of the equation, the exponents can be equated.

So, we begin by expressing 625 on the right hand side as a power of 5 which is the same base as on the left hand side.

Then, we equate the exponents and simplify for x as we usually do.

The following is the solution.

We know

and

So,

We now equate the exponents on both sides as solve for x like we would normally do

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61

step-by-step explanation:

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