What are the x and y intercepts of the equation? y=log(12x+7)−3 round the answers to the nearest hundredth.

ANSWER

The y-intercept is


The x-intercept is


EXPLANATION

The given logarithmic equation is


At x-intercept


This implies that,



We add 3 to both sides of the equation to obtain,



We now take the antilogarithm of both sides to base 10 to obtain,



This implies that,





This simplifies to,



We divide both sides of the equation by 12 to obtain,


correct to the nearest hundredth. Nearest hundredth means up to two decimal places.

For y-intercept,



This implies that,



This implies that,



This simplifies to


This implies that,


to the nearest hundredth.