+292 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 :)
+129852 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
