If 3^x/4+2 =56.8,
what is the value of x?
3 answers
x = 4.5
I will assume you meant
3^(x/4) + 2 =56.8
if you meant 3^x/(4+2) = 56.8,surely would have simplified (4+2) to 6
3^(x/4) + 2 =56.8
3^(x/4) = 54.8
log (3^(x/4) ) = log 56.8
(x/4)log 3 = log 56.8
x/4 = log 56.8/log 3 = 1.75435/.477123 = 3.6769
x = 14.7077
3^(x/4) + 2 =56.8
if you meant 3^x/(4+2) = 56.8,surely would have simplified (4+2) to 6
3^(x/4) + 2 =56.8
3^(x/4) = 54.8
log (3^(x/4) ) = log 56.8
(x/4)log 3 = log 56.8
x/4 = log 56.8/log 3 = 1.75435/.477123 = 3.6769
x = 14.7077
pretty good, until you lost track of that 2 you subtracted
3^(x/4) + 2 =56.8
3^(x/4) = 54.8
log (3^(x/4) ) = log 54.8
(x/4)log 3 = log 54.8
x/4 = log 54.8/log 3 = 1.73878/.477123 = 3.6443
x = 14.5772
3^(x/4) + 2 =56.8
3^(x/4) = 54.8
log (3^(x/4) ) = log 54.8
(x/4)log 3 = log 54.8
x/4 = log 54.8/log 3 = 1.73878/.477123 = 3.6443
x = 14.5772