how do you use the one-to-one property of property of logarithms to solve? step

CoormaBak9

CoormaBak9

Answered question

2021-10-24

how do you use the one-to-one property of property of logarithms to solve? step by step please
log(x+3)log(x)=log(74)

Answer & Explanation

Khribechy

Khribechy

Skilled2021-10-25Added 100 answers

Step 1
Given:
log(x+3)log(x)=log(74)
Step 2
One-to-one property of logarithms:
logax=logay
x=y  where, x,y and a all are positive
Step 3
Basic properties of logarithms:
loga+logb=logab
logalogb=logab
Step 4
Calculation of the given problem using one-to-one property:
log(x+3)log(x)=log(74)
log(x+3x)=log(74)
x+33=74
x+3=74x
74x=x+3
74x-x=3
73x=3
x=373
Step 5
Answer: x=373

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