1. Logarithms: Solving equations using logarithms
Silent
Teacher
Intelligent Practice
Narration
Your Turn
2 𝑥+1 = 3 𝑥
3 2𝑥 −2 3 𝑥 −15=0
2(7 2𝑥 )− 7 𝑥+1 +3=0
Example
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2. Worked Example
Your Turn
Solve the following equations (3sf):
Solve the following equations (3sf):
2 𝑥+1 = 3 𝑥
2 𝑥+1 = 7 𝑥
3 2𝑥 −2 3 𝑥 −15=0
2 2𝑥 𝑥 −18=0
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3. Solve the following equations for the value of 𝑥 (3sf):
5 𝑥 = 2 𝑥+1
7 𝑥+1 = 3 𝑥+2
2 3𝑥 = 5 (2𝑥+1)
7 𝑥+3 = 5 𝑥+4
3 2𝑥 −15 3 𝑥 +44=0
5 2𝑥 − 5 𝑥 −2=0
2( 3 2𝑥 )−7 3 𝑥 −4=0
3 2𝑥 𝑥 −2=0
2(7 2𝑥 )− 7 𝑥+1 +3=0
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4. Solve the following equations for the value of 𝑥 (3sf):
5 𝑥 = 2 𝑥+1
0.757
7 𝑥+1 = 3 𝑥+2
0.297
2 3𝑥 = 5 (2𝑥+1)
−1.41
7 𝑥+3 = 5 𝑥+4
1.78
3 2𝑥 −15 3 𝑥 +44=0
1.26, 2.18
5 2𝑥 − 5 𝑥 −2=0
0.431
1.26
2( 3 2𝑥 )−7 3 𝑥 −4=0 −1
3 2𝑥 𝑥 −2=0
2(7 2𝑥 )− 7 𝑥+1 +3=0
−0.356, 0.565
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