Logarithms Revision 6
By Tariq Willis
Logs You need to be able to switch between different notations. Loga b=c means the same as a c=b That means that ` a=1 and loga 1=0
Laws of logs Laws of Logarithms
Loga x + loga y = loga (xy) Loga x – loga y = loga (x/y) Loga xk = k loga x You need to know the laws of logs above. You can uses the laws to manipulate logs. Try some of the exercises in the book ex7B page 356.
Exponentials An exponential function is a function in the form f(x)=b x where b is a positive real number. And b is anything other than one. The number b is just the base.
Logarithms For any positive real numbers p and q, any real number x, and logarithms to any base: • The multiplication rule: log(pq) = logp + logq • The division rule: log(p/q) = logp – logq The power rule: log(px) = xlogp
Exam Style Questions If log 2 = r and log 3 = s, express in terms of r and s A) Log 16 B) log 18 C) log 13.5
Express a single logarithm A) 2 log x – 3 log y B) 1/3 log 64
Answers in your book page 358
Logs You need to be able to switch between different notations. Loga b=c means the same as a c=b That means that ` a=1 and loga 1=0
Laws of logs Laws of Logarithms
Loga x + loga y = loga (xy) Loga x – loga y = loga (x/y) Loga xk = k loga x You need to know the laws of logs above. You can uses the laws to manipulate logs. Try some of the exercises in the book ex7B page 356.
Exponentials An exponential function is a function in the form f(x)=b x where b is a positive real number. And b is anything other than one. The number b is just the base.
Logarithms For any positive real numbers p and q, any real number x, and logarithms to any base: • The multiplication rule: log(pq) = logp + logq • The division rule: log(p/q) = logp – logq The power rule: log(px) = xlogp
Exam Style Questions If log 2 = r and log 3 = s, express in terms of r and s A) Log 16 B) log 18 C) log 13.5
Express a single logarithm A) 2 log x – 3 log y B) 1/3 log 64
Answers in your book page 358
