In exercise, use properties of logarithms to expand each logarithmic expression
ID: 3014502 • Letter: I
Question
In exercise, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. Log_5(7 middot 3) log_g(13 middot 7) log_7 (7x) log_9 (9x) log(1000 x) log(10,000 x) log_7 (7/x) log_9 (9/x) log(x/100) log(x/1000) log_4(64/y) log_5(125/y) ln(e^2/5) ln(e^4/8) log_6 x^3 log_b x^7 log N^-6 log M^-8 ln 5 squareroot x ln 7 squareroot x log_5 (squareroot x/25) log_6(36/squareroot x + 1) log_8(64/squareroot x + 1) log_b(x^2 y/z^2) log_b(x^3 y/z^2) log squareroot 100 x ln squareroot ex log 3 squareroot 3 x/y log 5 squareroot x/y log_b(squareroot xy^3/z^3 log_b(3 squareroot xy^4/z^5) log_5 3 squareroot x^2 y/25) log_2 5 squareroot xy^4/16 ln[10 x^2 3 squareroot 1 - x/7 (x + 1)^2] log [100 x^3 3 squareroot 5 - x/ 3(x + 7)^2] In Exercise 41-70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate as a single logarithmic expressions without using a calculator.Explanation / Answer
log5(7*3)
Logx(a*b)=logxa+logxb
So we get
Log5(7*3)= log57 + log53
That's the required expansion