Find the value of expression

By using mathematical table 

Find the value of x in the equation log (2 x + 1) + log 4 = log (7 x + 8).

Find the value of 0.0000234x 120 in standard notation, correct to three significant figures

Given log2=0.3010 and log3 =0.4771, find value of   

Simplify the expression      without using mathematical tables, expressing the answer correct to two significant figures.

17. Show that logmn=log_a m + log_an  

24. Use mathematical tables to compute

correct to decimal places.

Evaluate log₁₀ 40,500 given that log₁₀ 2 = 0.3010 , log₁₀ 3 = 0.4771 and log₁₀ 5 = 0.6990.

19.

Find the value of x.

18. Solve for x given the equation leaving your answer in logarithmic form

(ii)   log₃ 10 + log₃ 8.1

17. Complete

If nlog5125 =  log264 , find the value of n.

Show that

15.Convert the expression 4×10⁻² into decimal number.  

14.Write    as a single logarithmic expression  

5.In the year 2012, the population of the world was 6,760,000,000. Write this population number in a scientific notation. 

If p = 6.4 × 10⁴ and q = 3.2 × 10⁵ , find the values of:

(i)  p × q ,

(ii)  p + q .

Write the answers in standard form.

Evaluate

Using mathematical tables and write the answer correctly to 3 significant figures

Find the value of log900 given that log3 = 0.4771 .

22.Evaluate 

16.Write    

as a single logarithmic expression.

2.The radius of the earth is about 6, 370, 000 meters. Express the radius in scientific notation.

Use mathematical table to evaluate

Simplify  without using mathematical table express your answer in four significant figures.

If log 2 = 0.3010, without using mathematical tables, find the value of log 5

Determine the value of y in the equation

log₁₀(3y+2) - 1=log₁₀(y-4)

If logy + 2log(3x + 1) = 1, express y in terms of x .

Solve log_a(x² + 3) ? log_ax = 2log_a2

Solve the equation log₄5x ? log₄(x + 2) ? log₄3 = 0

Evaluate without using mathematical tables 2 log 5 + log 36 — log 9.

Evaluate

using logarithmic tables.

Simplify the expression

Write  as a single logarithmic expression.

The number of students who sat for the Primary School Leaving Examination (PSLE) in 2013 was 844,918. Express this number in standard notation.

Simplify the expression

, hence write the answer in standard form.

Without using mathematical tables, find the value of 3log 5+ 5log 2 – 2log 2.

If log 2 = 0.3010, log3 = 0.4771 and log 7 = 0.8451, find log 42.