Expanding logarithms
Condensing logarithms
logarithmic equations
exponential graphs
exponential equations
100
log4(x^5)
What is log4 + 5 logx
100
log 5 + log x
What is log 5x
100
Log 1 =
What is 0
100
y = 3 〖(2)〗^x Give me 2 points (from our formulas) and the horizontal asymptote.
What is (0, 3) and (1, 6). The H.A. is y = 0, or the x-axis
100
5^x = 27. Solve for x
What is x = 2.049
200
log √x(y^2)
What is 1/2 logx + 2 logy
200
4 log 12 - 4 log2
What is log1296 or log (12/2)^4
200
log (base 4) 1/16 =
What is x = -2
200
y = 4 〖(.5)〗^x. Give me 2 points, the H.A., and label the different parts of the exponential function (what is a and what is b).
What is (0, 4) and (1, 2), the H.A. is y = 0, a = 4, and b = .5.
200
36^x – 9 = 6^2x
What is no solution
300
ln 3(y^4)/x^3
What is ln3 + 4 lny - 3 lnx
300
10 logx + 2 log10
What is log100x^10
300
log (8x + 2) = log (4x + 18). Solve for x
What is x = 4
300
y = 2 〖(.2)〗^(x+5) – 3 Give me the 2 shifts of this function (from the parent function) and whether it is exponential growth/decay
What is a shift to the left 5 points and a shift down 3 points. This is an exponential decay function.
300
1/4(4^2x) + 1 = 5
What is x = 1
400
ln〖(5xy)〗^2/(w)
What is ln25 + 2 lnx + 2 lny - lnw
400
7 log2 + 5 logx + 3 log y
What is log128(x^5)(y^3)
400
log (base 3) (5x - 6) = 2
What is x = 3
400
y = 〖(3)〗^(x-4) – 5. Give me 2 points from this graph (the FINAL points) and the range and domain of the function.
What is (4, -4) and (5, -2). The domain is all real numbers and the range is y > -5.
400
5^3x + 6.2 = 27
What is x = .629
500
log (〖〖3xyz〗^2)〗^3
What is 3 log3 + 3 logx + 3 logy + 6 logz
500
log (x – 4) + 5 log (x + 1) – 3 log (x + 1)
What is log((x-4) 〖(x+1)〗^5)/〖(x+1)〗^3
500
log 5x + log(x - 1) = 2. Solve for x.
What is x = 5
500
y = -4 〖(.5)〗^(x+3) + 2 Give me 2 points, the range and domain, the H.A., and whether it is a growth/decay function.
What is (-3, -2) and (-2, 0), range is y < 2 and domain is all real numbers, the H.A. is y = 2, and it is a decay function.
500
2 + (1/3^2x + 4) = 11
What is x = -3
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