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ddd [48]
3 years ago
8

What is the exponential form of the logarithmic equation? 5 = logo.9 0.59049

Mathematics
2 answers:
OLEGan [10]3 years ago
6 0

Answer:

0.9^5=0.59049

Step-by-step explanation:

By definition, we have:

log_ab=c\implies a^c=b

Therefore, given log_{0.9}(0.59049)=5, assign:

  • a=0.9
  • b=0.59049
  • c=5

Rewrite:

\boxed{0.9^5=0.59049}

galina1969 [7]3 years ago
5 0

^ means to the power of or exponent

logb(x) = y is b^y = x

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

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The length of ladder will be the hypotenuse

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The distance between the foot of ladder and the wall will be the base

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H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

  • brainly.com/question/9532142
  • brainly.com/question/9590016

#LearnwithBrainly

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