SOLUTION: log10 3z=2

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Question 1137068: log10 3z=2
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52932) About Me  (Show Source):
You can put this solution on YOUR website!
.

log%2810%2C+%283z%29%29 = 2   ====>


3z = 10%5E2


z = 100%2F3 = 33.3(3)...     ANSWER



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Comment from student: thank you and log10 x=6
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My response : 

log%2810%2C+%28x%29%29 = 6   ====>


x = 10%5E6.         ANSWER


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On logarithms and their properties,  see the lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Solving logarithmic equations
    - Proving equalities with logarithms
    - Using logarithms to solve real world problems
    - Solving problem on Newton Law of cooling
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%2810%2C+3z%29=2
log%2810%2C+3%29%2Blog%2810%2Cz%29=2
log%2810%2Cz%29=2-log%2810%2C+3%29....since log%2810%2C100%29=2, we have
log%2810%2Cz%29=log%2810%2C100%29-log%2810%2C+3%29
log%2810%2Cz%29=log%2810%2C100%2F3%29 .....since log same
z=100%2F3