Question

Solve the equation for t and express your answer in terms of base-10 logarithms.
4^(√2t+5) =11

t=?

Answer 1

log both sides first. if they are equal, their logs should be equal too. use log10 if that is what the question requires.

trick is to remember that log (a^ b) is b*log(a)

Answer 2

irish when i put it in how would i put the ^(√2t+5)

Answer 3

\(\Large \bf 4^{\sqrt{2t}+5}=11\quad ?\)

Answer 4

that's the b in the hint i gave.

\[\log (x ^{y}) = y \log (x)\]

in this schematic, it's the 'y'