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In this lesson, we will learn how to solve exponential equations by forming alike bases.

Q1:

Given that 7 = 4 9 π₯ and 4 = 6 4 π¦ , find the value of π₯ π¦ .

Q2:

Given that 8 = 4 = 6 4 π¦ π§ , find the value of π¦ + π§ .

Q3:

Find the solution set of 2 = 8 | 8 π₯ β 1 2 | 4 π₯ β 4 .

Q4:

Given that 5 Γ 6 = 2 1 6 1 2 5 π₯ β 6 6 β π₯ , find the value of π₯ .

Q5:

Find the value of π₯ for which οΌ 3 5 ο = 2 7 9 2 π₯ β 4 .

Q6:

Given that 8 1 Γ 4 = 2 5 6 Γ 3 π₯ + 6 π₯ + 6 , find the value of π₯ .

Q7:

Given that 1 2 5 Γ 2 = 8 Γ 5 π₯ β 4 π₯ β 4 , find the value of π₯ .

Q8:

Find the solution set of 3 = 9 π₯ β 3 6 π₯ β 3 6 2 2 in β .

Q9:

Given that 4 = 1 6 | π₯ | , what are the possible value of π₯ ?

Q10:

Determine the solution set of 2 Γ 3 = 4 9 π₯ β 5 5 β π₯ .

Q11:

Given that 6 2 5 Γ 3 6 3 0 Γ 5 = 1 8 π₯ π₯ 2 π₯ 2 π₯ π¦ β 8 , find the value of π¦ .

Q12:

Find the value of π₯ for which οΌ 6 5 ο = 2 1 6 1 2 5 3 π₯ β 3 .

Q13:

Solve 8 Γ 2 = 4 π₯ β π₯ .

Q14:

Find all the values of π₯ which satisfy 7 = 1 π₯ ( π₯ + 2 ) .

Q15:

Find the solution set of 2 β 2 = 4 4 8 π₯ + 2 π₯ β 1 in β .

Q16:

Given that 2 = 1 6 π₯ + 8 , find the value of π₯ .

Q17:

Given that οΌ 4 5 ο = 6 4 1 2 5 π₯ + 7 , determine the value of π₯ .

Q18:

If 2 5 Γ 7 3 5 = 1 2 5 π₯ π₯ π₯ , then what is the value of π₯ ?

Q19:

Given that π ( π₯ ) = 6 π₯ β 1 2 , find the solution set of the equation π ( π₯ + 8 ) = 1 3 6 .

Q20:

Find the solution set of 4 Γ 2 = 1 2 π₯ + 4 in β .

Q21:

Given that 6 Γ 2 7 7 2 9 Γ 2 Γ 7 2 9 = 2 3 π π + 2 2 π π , find the value of π , where π β β€ .

Q22:

Determine the solution set of π₯ = 5 π₯ β 6 4 π₯ β 6 4 2 2 .

Q23:

Determine the solution set of π₯ = 8 π₯ β 3 6 π₯ β 3 6 2 2 .

Q24:

Find the value of π₯ for which 2 5 4 = οΌ 5 2 ο π₯ .

Q25:

Determine the solution set of 4 = οΌ 1 4 ο ( π₯ + 8 ) 6 π₯ 2 .

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