Solve 3^x+1 = 15 for x using the change of base formula log base b of y equals log y over log b

x= 1.46497

Step-by-step explanation:

To solve this , first we convert the exponential form in to log form

becomes

now we apply change of base formula to remove base 3

like that log_3(15) becomes

2.46497=x+1

subtract 1 from both sides

x= 1.46497

The value of x is 1.46.

Step-by-step explanation:

Given : Equation

To find : Solve for x using the change of base formula log base b of y equals log y over log b ?

Solution :

Equation

Applying the logarithmic property,

Applying change base formula in LHS,

Therefore, the value of x is 1.46.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)