Logs: Solving Power Equations

Easy

Medium

Difficult

Q1) Solve to 4sf, \(5^{x}= 15 \)
Q1) Find the exact solutions of the equation
\(2^{x}{e}^{9x+8}= 9 \)
Q1) Solve \(5^{2x} +6(5^{x}) -16 =0 \)
Q2) Solve to 4sf, \(3^{x}= 20 \)
Q2) Find the exact solutions of the equation
\(5^{x}{e}^{2x+9}= 20 \)
Q2) Solve \(4^{2x} +2(4^{x}) -80 =0 \)
Q3) Solve to 4sf, \(5^{x}= 16 \)
Q3) Find the exact solutions of the equation
\(5^{x}{e}^{7x+1}= 18 \)
Q3) Solve \(2^{2x} +2(2^{x}) -3 =0 \)
Q4) Solve to 4sf, \(2^{x}= 9 \)
Q4) Find the exact solutions of the equation
\(2^{x}{e}^{4x+9}= 20 \)
Q4) Solve \(2^{2x} +6(2^{x}) -40 =0 \)
Q5) Solve to 4sf, \(3^{x}= 9 \)
Q5) Find the exact solutions of the equation
\(3^{x}{e}^{9x+4}= 8 \)
Q5) Solve \(2^{2x} +5(2^{x}) -14 =0 \)
Q6) Solve to 4sf, \(5^{x}= 11 \)
Q7) Solve to 4sf, \(5^{x}= 20 \)
Q8) Solve to 4sf, \(3^{x}= 16 \)
Q9) Solve to 4sf, \(4^{x}= 17 \)
Q10) Solve to 4sf, \(2^{x}= 16 \)