1. Express as a single logarithm and, if possible, simplify. log b x 8 - 2log b

Question

1. Express as a single logarithm and, if possible, simplify.

logb x8 - 2logb        
       
       logb x9
       logb x7 Question 2.2. Express as a single logarithm and, if possible, simplify.

log s + 4log x        log
       log
       log (x4 + )
       log x4 Question 3.3. Express in terms of sums and differences of logarithms.

loga2x5yz4        20 loga2xyz
       loga2 + 5logax + logay + 4logaz
       loga2 5logax logay 4logaz
       loga2 + loga5x + logay + loga4z Question 4.4. Solve the following equation:        
       
       
        Question 5.5. Solve the following equation: 4x = 3        x = 0.793
       x = 1.262
       x = 0.750
       x = 1.333 Question 6.6. Solve the following equation:        
       
       
        Question 7.7. Solve the following equation:        
       
       
        Question 8.8. Solve the following equation:        
       
       
        Question 9.9. Solve the following equation:        
       
       
       

Explanation / Answer

1) logb x8 - 2logb

Looking at the options in answers and question there are no x^7 and x^9 :Please check question

2) logs + 4logx

logs +logx^4

log(sx^4)

3)
loga2x5yz4

loga(2) + logx^5 + loga(y) + loga(z^4)

loga(2) + 5logx + log(y) + 4loga(z)

5) 4^x = 3

Take log on both sides

xlog4 = 3

x= log3/log4

x = 0.793

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