log to base 1.06, ans: 0.955966= x how can I type this in?

Umm

log(0.955966,1.06)

$${{log}}_{{\mathtt{1.06}}}{\left({\mathtt{0.955\: \!966}}\right)} = -{\mathtt{0.772\: \!846\: \!666\: \!714\: \!989\: \!2}}$$

Is that what you want?

or

$$\\log_{1.06}x=0.955966\\\\ 1.06^{log_{1.06}x}=1.06^{0.955966}\\\\ x=1.06^{0.955966}\\\\$$

$${{\mathtt{1.06}}}^{{\mathtt{0.955\: \!966}}} = {\mathtt{1.057\: \!283\: \!724\: \!331\: \!689\: \!1}}$$