how to solve log log equation??

clc ,clear 
syms m 
m1=7;
m2=9.41;
t1=273+30;
t2=273+50;
t=40+273

t = 313

b=(log10(log10(m1))-log10(log10(m2)))/((log10(t1)-(log10(t2))));
a=log10(log10(m1))-b*log10(t1);
a

a = -5.5678

b

b = 2.2143

log10(log10(m))=a-b*log10(t);

Error using indexing
Invalid indexing or function definition. Indexing must follow MATLAB indexing. Function arguments must be symbolic variables, and function body must be sym expression.

solve(m)

[Matt J]

Why not as written?

Answer 1

[Sulaymon Eshkabilov]

Here is the corrected code (note how the EQN is set up for the given equation):

clc, clearvars 
syms m 
m1=7;
m2=9.41;
t1=273+30;
t2=273+50;
t=40+273;
b=(log10(log10(m1))-log10(log10(m2)))/((log10(t1)-(log10(t2))));
a=log10(log10(m1))-b*log10(t1);
fprintf('a = %f; b = %f \n', [a, b])

a = -5.567761; b = 2.214304 

EQN =log10(log10(m))==a-b*log10(t);
SOL = solve(EQN);
fprintf('Solution: m  = %1.16f with solve()  \n', double(SOL));

Solution: m  = 1.0000000000185594 with solve()  

[Torsten]

Or

m = 10^(10^(a-b*log10(t)))