Solve 6x + 2 = 10 for x using the change of base formula log base b of y equals log y over log b.

The answer is -0.715

Step-by-step explanation:

Firstly, we use the change of base formula. The base must be 6 because the "x" variable is a power of it.

Then, we can use the property logarithm power rule:

So,

Finally, the value of , therefore:

x= -0.715

Step-by-step explanation:

6^x+2 = 10

Step 1: Apply ln rule on both sides

ln rule: x^y = z

ln rule: (y)ln(x) = ln(z)

6^x+2 = 10

(x+2)*ln(6) = ln(10)

(x+2) = ln(10)/ln(6)

x+2 = 1.285

x = -0.715

Therefore, the right answer is the second option -0.715

!!