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# 3 algebra questions

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1) What is the exponential form of the logarithmic equation? 4=log0.8 04096

2) Solve the logarithmic equation. y=log5125

3) What are the x and y intercepts of the equation? y=log(3x+4)+2 Round the answers to the nearest hundredth.

Thank you :)

Nov 20, 2018

#1
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1) Exponential form is :

0.8^4   = 0.4096

2) This says that     5^y  = 125

Note 125   = 5^3

So.... 5^y = 5^3      implies that y = 3

3) y = log (3x + 4) +2

To find the y intercept, set x = 0   and we have

y = log (3(0) + 4) + 2

y =  log(4) + 2  ≈  2.60

To find the x intercept, set y = 0   and we have

0 =log (3x + 4)  + 2       subtract 2 from both sides

-2 = log (3x + 4)

In exponential form, we have

10^(-2)  = 3x + 4        subtract 4 from both sides

10^(-2) - 4  = 3x         divide both sides by 3

[ 10^(-2) - 4 ] / 3  = x  =  -1.33   Nov 20, 2018
edited by CPhill  Nov 20, 2018
#2
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Thanks dude! You're always so much better at explaining this stuff than my math teachers

Johnnyboy  Nov 20, 2018
#3
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Well....I do what I can.....THX!!!!   CPhill  Nov 20, 2018