anonymous
  • anonymous
how can u rewrite these logarithmic equations an equivalent exponent equation or the other way around m=loga x is equivalent to am=x1. log3 5=y,2. loga 7=-2then solvelog2x=-3,logx9=1/2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
need help solving and rewriting
anonymous
  • anonymous
can u go over with this with me and help rewrite and solve
anonymous
  • anonymous
with attachment to help

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More answers

anonymous
  • anonymous
Sorry for the delay, my paid gig had some one show up. You've seen: \[\log_{a} b=x \rightarrow a^{x}=b\]
anonymous
  • anonymous
ok
anonymous
  • anonymous
\[\log_{3} 5=y\] What is the "base"?
anonymous
  • anonymous
5
anonymous
  • anonymous
No. In exponential form \[3^y=5\] so the 3 is the base
anonymous
  • anonymous
\[base^{exponent}=answer\]
anonymous
  • anonymous
In log form \[\log_{base}answer =exponent \]
anonymous
  • anonymous
OK?
anonymous
  • anonymous
ok
anonymous
  • anonymous
What is \[\log_{4} 16 = 2\] in exponential form?
anonymous
  • anonymous
4y=16,
anonymous
  • anonymous
right, 4^2 = 16
anonymous
  • anonymous
If we had to write \[3^2=9\] in log form, we'd write \[\log_{3}9=2 \]
anonymous
  • anonymous
OK?
anonymous
  • anonymous
ok
anonymous
  • anonymous
Your second problem is \[\log_{a}7=2 \] What is the base here?
anonymous
  • anonymous
7y=-2
anonymous
  • anonymous
The base is a (it is that small sub scripted (a)
anonymous
  • anonymous
ok
anonymous
  • anonymous
The exponent is on the right side of the equal sign
anonymous
  • anonymous
-2
anonymous
  • anonymous
a7
anonymous
  • anonymous
Right, so try writing the a, the 7 and the -2 in exponential form
anonymous
  • anonymous
7a=-2
anonymous
  • anonymous
a is the base -2 is the exponent and the 7 is the "answer"
anonymous
  • anonymous
\[a^{-2}=7\]
anonymous
  • anonymous
ok
anonymous
  • anonymous
so it would bea-2=7
anonymous
  • anonymous
How about \[\log_{a} 30 = 5\] What is that in exponential form?
anonymous
  • anonymous
Base is ___ Exponent is ____ and the answer is _____
anonymous
  • anonymous
a30=5
anonymous
  • anonymous
30
anonymous
  • anonymous
answer
anonymous
  • anonymous
right, 30 is the answer a is the base and 5 is the exponent
anonymous
  • anonymous
Try watching the first few minutes of this video http://patrickjmt.com/properties-of-logarithms-part-1/
anonymous
  • anonymous
How did the video help?
anonymous
  • anonymous
ok

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