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Title : Shortcuts To Solve Logarithms Problems For Competitive Examinations
link : Shortcuts To Solve Logarithms Problems For Competitive Examinations

Shortcuts To Solve Logarithms Problems For Competitive Examinations

Dear Students, there are 3 primal formulas inwards logarithms which nosotros role mostly to solve the problems of algebraic expressions. Also nosotros must know few log values. If goose egg is written inwards the base of operations hence its understood that hither 10 is placed.These formulas are given below.

Important Formulas of Logarithms:

1. log(M✖N)=logM+logN

2. log(M/N)=logM-logN

3. logM^N = NlogM

Few Important log Values to Remember:

log1=0

log0 = undefined

log2=0.301

log3=0.477

log4=0.602

log5=0.698

log6=0.778

log7=0.845

log8=0.903

log9=0.954

log10=1

Few More Formulas of Logarithms:

1. log_xa = loga/logx

2. log_aa = loga/loga

Solve these Questions By Applying Above Formulas:

Q1. Solve the equation (1/2)^(2x + 1) = i

Q2. Solve x y^m = y x^3 for m.

Q3. Given: log₈(5) = b. Express log₄(10) inwards price of b.

Q4. Simplify without calculator: log₆(216) + [ log(42) - log(6) ] / log(49)

Q5. Simplify without calculator: ((3^-1 - 9^-1) / 6)^1/3

Q6. Express (log_xa)(log_ab) equally a unmarried logarithm.

Q7. Find a hence that the graph of y = log_ax passes through the signal (e , 2).

Q8. Find constant Influenza A virus subtype H5N1 such that log₃ x = Influenza A virus subtype H5N1 log₅x  for all x > 0.

Q9. Solve for x the equation log [ log (2 + log₂(x + 1)) ] = 0

Q10. Solve for x the equation ii x b^{4 log}_b^x = 486

Q11. Solve for x the equation ln (x - 1) + ln (2x - 1) = ii ln (x + 1)

Q12. Find the x intercept of the graph of y = ii log( sqrt(x - 1) - 2)

Q13. Solve for x the equation 9^x - 3^x - eight = 0

Q14. Solve for x the equation 4^{x - 2} = 3^{x + 4}

Q15. If log_x(1 / 8) = -3 / 4, than what is x? 

Thus the article Shortcuts To Solve Logarithms Problems For Competitive Examinations

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