Solve exponential equations using logarithms
11th grade (Year 12 in England) · 16 questions · Common Core: HSF.LE.A.4 · England: A-level Pure Mathematics
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Question 1
Solve 7 × 1.2^x = 154. Give x to 3 decimal places.
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Question 2
Solve 2^x = 171. Give x to 3 decimal places.
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Question 3
Kwame invests $6000 at 6% compound interest per year. After how many whole years will the investment first be worth at least 1.5 times as much?
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Question 4
Solve 6 × 3^x = 54. Give x to 3 decimal places.
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Question 5
Solve 7^x = 185. Give x to 3 decimal places.
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Question 6
Ravi invests $11000 at 8% compound interest per year. After how many whole years will the investment first be worth at least 3 times as much?
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Question 7
Solve 7 × 3^x = 77. Give x to 3 decimal places.
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Question 8
Solve 2^x = 140. Give x to 3 decimal places.
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Question 9
Ben invests $2000 at 2% compound interest per year. After how many whole years will the investment first be worth at least 1.5 times as much?
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Question 10
Solve 4 × 1.5^x = 12. Give x to 3 decimal places.
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Question 11
Solve 5^x = 165. Give x to 3 decimal places.
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Question 12
Ines invests $2000 at 8% compound interest per year. After how many whole years will the investment first be worth at least 1.5 times as much?
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Question 13
Solve 3 × 3^x = 48. Give x to 3 decimal places.
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Question 14
Solve 7^x = 48. Give x to 3 decimal places.
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Question 15
Ben invests $6000 at 3% compound interest per year. After how many whole years will the investment first be worth at least 3 times as much?
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Question 16
Solve 5 × 2^x = 135. Give x to 3 decimal places.
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