Solve for z. ln63=lnz+ln7 enter your answer in the box.

ln(56 + -1z) = 0

Step-by-step explanation:

Simplifying

ln(63) = ln(z) + ln(7)

Reorder the terms for easier multiplication:

63ln = ln(z) + ln(7)

Multiply ln * z

63ln = lnz + ln(7)

Reorder the terms for easier multiplication:

63ln = lnz + 7ln

Reorder the terms:

63ln = 7ln + lnz

Solving

63ln = 7ln + lnz

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-7ln' to each side of the equation.

63ln + -7ln = 7ln + -7ln + lnz

Combine like terms: 63ln + -7ln = 56ln

56ln = 7ln + -7ln + lnz

Combine like terms: 7ln + -7ln = 0

56ln = 0 + lnz

56ln = lnz

Add '-1lnz' to each side of the equation.

56ln + -1lnz = lnz + -1lnz

Combine like terms: lnz + -1lnz = 0

56ln + -1lnz = 0

Factor out the Greatest Common Factor (GCF), 'ln'.

ln(56 + -1z) = 0

Could be wrong. If it is, let me know. Thanks! Have a good rest of your day! :)

109 is the nearest whole number/final answer! : )

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.