Express the following as a single logarithm: log 3 + log 7 2log?? 3

Mini test 6: Exponents and Logarithms
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  1. Express the following as a single logarithm:
    1. log 3 + log 7
    2. 2log?? 3
  1. log?? ?? –

1 log 25

??

2

  1. Solve the equation log4 ?? + log4 2 = 2to find x.
  1. Given that log?? ?? – log?? 3 = 7, express in terms of in a form not involving logarithms.

 

  1. Use logarithms to solve the equation 7?? = 12.

 

  1. It is given that satisfies the equation 2 log?? ?? – log??(?? – 1) = log?? 4.

a) Show that ??2 – 4?? + 4 = 0.
b) Hence find the value of x.


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