Question

Show the steps and name the properties you used to solve the equation below

log3=log2-log(3x+7)


Ps. if you just try to get points I will have your answer removed which takes away the points

Answer 1

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

3x

3

=

−6.333333

3

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps