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When you have logs with different bases and x's in two places, you need to get all of the x's on one side of the equation any way you can. From there, factor out an x, and use division to get x isolated. These can be very difficult to type into your calculator correctly, so be extremely precise with use of parentheses and consider breaking it into parts to evaluate separately.
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Sample Problems (8)
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Solving Exponential Equations with the Different Bases
Problem 1 12,216 viewsSolve:
5^{t + 1} = 13 
Solving Exponential Equations with the Different Bases
Problem 2 8,424 viewsSolve:
e^{0.04x} = 18 
Solving Exponential Equations with the Different Bases
Problem 3 7,637 viewsSolve:
10^{x + 1} = 8 
Solving Exponential Equations with the Different Bases
Problem 4 7,934 viewsSolve:
7^{x + 1} = 9^{x − 4} 
Solving Exponential Equations with the Different Bases
Problem 5 765 views 
Solving Exponential Equations with the Different Bases
Problem 6 603 views 
Solving Exponential Equations with the Different Bases
Problem 7 652 views 
Solving Exponential Equations with the Different Bases
Problem 8 620 views
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