The number of integral values of for which is defined for every real value of is - - -

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The number of integral values of

a

for which

f(x) = \log(\log_{1/3}(\log_7(\sin x + a)))

is defined for every real value of

x

is - - -