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In this lesson, we will learn how to solve logarithmic equations involving logarithms with different bases.

Q1:

Find the solution set of l o g l o g 3 9 π₯ = 4 in β .

Q2:

Find the solution set of l o g l o g 5 1 2 5 π₯ = 7 2 9 in β .

Q3:

Find the solution set of l o g l o g 2 π₯ π₯ + 9 2 = 6 in β .

Q4:

Find the solution set of l o g l o g 4 π₯ π₯ + 2 5 4 = 1 0 in β .

Q5:

Find the solution set of l o g l o g 2 π₯ π₯ + 2 5 2 = 1 0 in β .

Q6:

Determine the solution set of the equation l o g l o g 3 2 4 3 5 π₯ + π₯ + 3 = 0 in β .

Q7:

Find the solution set of οΊ π₯ + 2 ο ο» π₯ 1 6 ο = 5 l o g l o g 4 4 in β .

Q8:

Determine the solution set of the equation l o g l o g 4 4 π₯ β 1 π₯ = 8 3 in β .

Q9:

Find the solution set of l o g ( 1 0 β 9 0 ) + π₯ β 3 = 0 π₯ in β .

Q10:

Find the solution set of l o g l o g 2 4 π₯ = ( 3 π₯ + 2 8 ) in β .

Q11:

Determine the solution set of the equation . Give the values correct to two decimal places, if necessary.

Q12:

Find all possible values of π₯ for which π₯ = 6 4 π₯ l o g 2 π₯ β 1 .

Q13:

Find the solution set of 2 + 2 = 7 2 π₯ 9 β π₯ in β .

Q14:

Solve l o g l o g 2 7 π₯ = 1 4 9 , where π₯ β β .

Q15:

Solve l o g l o g 9 4 π₯ = 6 4 , where π₯ β β .

Q16:

Solve l o g l o g 5 6 π₯ = 3 6 , where π₯ β β .

Q17:

Solve l o g l o g 2 π₯ = 1 0 0 0 , where π₯ β β .

Q18:

Solve οΊ π₯ ο β 6 π₯ + 8 = 0 l o g l o g 5 2 5 , where π₯ β β .

Q19:

Select the expression equal to

Q20:

Find the solution set of 2 Γ 8 = 2 ( π₯ ) π₯ l o g l o g 8 2 8 4 in β .

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