Solve in(5x+7)=8 round to the nearest thousandth

The answer 0.2

5x + 7= 8

5x= 8 -7

5x= 1

divide both sides by the coefficient of x which is 5

5x/5= 1/5

x= 0.2

Hence the value of x in the equation is 0.2

Please see the link below for more information

link

Step-by-step explanation:

Subtract 7 from both sides.

Simplify.

Divide both sides by 5.

Simplify.

Decimal form:

0.2

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

the answer is a if my teacher taught me correct