Question

y=log6(42)

Answer 1

Y=log10(42)/log10(6) = 0.77815125038364363250876679797961...

Answer 2

log (6)42 =log (6) 6*7
log(6) 6 + log(6) 7
log (6)6 = 1 log(6) 7 = log(10) 7 / log(10) 6 = 0.845/0.778= 1.0861
y = log (6) 42 = 1 + 1.0861= 2.0861

I agree rule to convert logs to the same base
log (6) 42 = log(10) 42 / log (10) 6 = 1.6232 / 0.7781 = 2.0861

got it @EmmaTassone had the right log rule but did not compute correctly