Logarithms

evaluate: log7(1/6) + log7(6/49)

-2

Expand 1. log( cube root(x^2 y/z4) 2. log( x^2 sqrt(y)/ cuberoot (z4)

1. 1/3 (2 log x + log y - 4 log z) 2. 2 Log (X) + 1/2 log (y) - 4/3 log (z)

Condense 1. Log(x) + Log (y) - Log(z), 2. -Log(x) + Log(y) -Log(z) 3. 2Logx +3logy - 4logz 4. 1/2logx - 1/3 logy + 1/4logz

1. Log(xy/Z) 2. Log (y/xz) 3. Log (x^2 y^3/z^4) 4. Log( x^1/2 z^1/4/ y^1/3)

How many Oz in a LB?

16 oz per lb

Solve these exponentiation equations: 8^x+4 = 16^2x-3 what is x? 2^x = 7 e^x+2 = 8

8^x+4 = 16^2x-3 what is x? x = 24/5 2^x = 7 x = ln(7) / ln(2) e^x+2 = 8 x = ln(8)-2

Solve the following , Log(-5), Log (0)

DNE, does not exist

Evaluate : In(1), ln(e), Lne^5, e^In(7), e^3ln(x), 2e^4ln(y), 5^log5(y^8)

Ln(1) = 0 ln(e^5) = 5 e^ln(7) = 7 e^3ln(x) = x^3 2e^4ln(y) = 2y^4 5^log5(y^8) = y^8

Evaluate Log2(16), Log3(27), Log7(7), Log(.0001), Log9(3), Log9(1/3), Log32(1/2), Log16(1/2), Log64(8), and Log 81(1/3).

Log2(16) =4 Log3(27) = 3 Log7(7) = 1 Log(.0001) = -4 Log9(3) = 1/2 Log9(1/3) = -1/2 Log32(1/2) = - 1/5 Log16(1/2) = -1/4 Log64(8) = 1/2 Log 81(1/3) = - 1/4

simplify: Log3(6) - log3(2) Log2(12) + log2(24) - log2(9)

Log3(6) - log3(2) = 1 Log2(12) + log2(24) - log2(9) = 5

natural log solve for x: ln(x)=5 ln(x) + 3ln(x) = 4 Ln(x-2) = 2

ln(x)= x =e^5 ln(x) + 3ln(x) = x = 1 Ln(x-2) = x = e^2 + 2

Solve for x or y: logx(27) = 3 log2(y) = 5 log2(x+5) = 3 log2(x-3) + log2(x-1) = 3 log3(2x+1) + log3(x+8) = 3 log2(x+5) = log2(3x-9)

logx(27) = x=3 log2(y) = 7=5 log2(x+5) = x=3 log2(x-3) + log2(x-1) = x=3 log3(2x+1) + log3(x+8) = x=3 log2(x+5) = log2(3x-9) x=7