# If log10x = 2, what does x equal?

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• Ok These guys fail. PLEASE do NOT LISTEN to the guys above. Let me explain

First off, this is the question: log(10x) = 2

Everyone is saying x=100, so log (10*100) = log(1000)

type log(1000) into your calculator. does it equal 2? NOO

when you see a log of anything, say for example log(9), ask yourself, 10 to what power equals 9?

for your question, 10 to what power equals 10x

well, the answer is 2. So, 10^2 = 10x

100 = 10x

x=10!!!

NOT 100. type in log(100) into your calculator and you will get 2.

Likewise, what the guy was saying above, if you see a log, do 10 raised to it to get rid of the log and be left with the inside part.

log(80)=x

10^(log(80)) = 10^x [remember what you do to one side, do to the other]

80=10^x [to get rid of exponents, take log]

log(80) = log(10^x)= xlog(10)

remember what i said before? 10 to the what equals the inside? log(10) ask yourself, 10 to the what is 10(the inside part), 10^1 is ten. so log(10) = 1

log(80) = x, right back where we started.

by the way, 10^(log(10)) = 10^(1) = 10. NOT 1,NOT 1

more practice. log(h) = ?

ask yourself. 10 raised to what is h

if it were log(h) = 60

10^60 = h

• If log10x+ log10(3x+a million) = a million it relatively is the comparable as log10 (x*(3x+a million)) = a million Taking antilogs from the two sides = x(3x+a million) = 10^a million x(3x+a million) – 10 = 0 3x^2 +x – 10 = 0 This factorises to (x+2)(x- 5/3)= 0 examine x^2 – (5/3)x +2x – 10/3 x^2 – (5/3)x + (6/3)x – 10/3 x^2 + (a million/3)x – 10/3 = 0 3x^2 + x -10 = 0 consequently x= -2 or + 5/3.

• x = 10^2

• I’m pretty sure x equals 1/5. Divide ten into two which makes it into a fraction, 2/10. From there, you divide both numbers by two and that’s how you get 1/5

• You can rewrite this question as:

10^2=x

Solve for x.

x=100.

or you can put 10 to both sides:

10^log10 x= 10^2

10^log10=1 (property of log)

so

x=10^2, x=100

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